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404045540512240 = 245114754193180263
BaseRepresentation
bin101101111011110100010111…
…0111010100101000111110000
31221222121101011102110112112111
41123313220232322211013300
5410424340231332342430
63551155543040135104
7151051220103621244
oct13367505672450760
91858541142415474
10404045540512240
1110781782a1a0140
1239396896007494
131445b43c225443
1471abca0d16424
1531aa2421e3c2a
hex16f7a2eea51f0

404045540512240 has 160 divisors (see below), whose sum is σ = 1046635927013376. Its totient is φ = 143796122234880.

The previous prime is 404045540512231. The next prime is 404045540512241. The reversal of 404045540512240 is 42215045540404.

It is a super-3 number, since 3×4040455405122403 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 404045540512193 and 404045540512202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404045540512241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2241332349 + ... + 2241512611.

Almost surely, 2404045540512240 is an apocalyptic number.

404045540512240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404045540512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523317963506688).

404045540512240 is an abundant number, since it is smaller than the sum of its proper divisors (642590386501136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404045540512240 is a wasteful number, since it uses less digits than its factorization.

404045540512240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234527 (or 234521 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 40.

The spelling of 404045540512240 in words is "four hundred four trillion, forty-five billion, five hundred forty million, five hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 110 176 188 220 235 376 440 470 517 752 880 940 1034 1880 2068 2585 3760 4136 5170 8272 10340 20680 41360 54193 108386 180263 216772 270965 360526 433544 541930 596123 721052 867088 901315 1083860 1192246 1442104 1802630 1982893 2167720 2384492 2547071 2884208 2980615 3605260 3965786 4335440 4768984 5094142 5961230 7210520 7931572 8472361 9537968 9914465 10188284 11922460 12735355 14421040 15863144 16944722 19828930 20376568 23844920 25470710 28017781 31726288 33889444 39657860 40753136 42361805 47689840 50941420 56035562 67778888 79315720 84723610 93195971 101882840 112071124 135557776 140088905 158631440 169447220 186391942 203765680 224142248 280177810 338894440 372783884 448284496 465979855 560355620 677788880 745567768 931959710 1120711240 1491135536 1863919420 2241422480 3727838840 7455677680 9768992759 19537985518 39075971036 48844963795 78151942072 97689927590 107458920349 156303884144 195379855180 214917840698 390759710360 429835681396 459142659673 537294601745 781519420720 859671362792 918285319346 1074589203490 1719342725584 1836570638692 2149178406980 2295713298365 3673141277384 4298356813960 4591426596730 5050569256403 7346282554768 8596713627920 9182853193460 10101138512806 18365706386920 20202277025612 25252846282015 36731412773840 40404554051224 50505692564030 80809108102448 101011385128060 202022770256120 404045540512240