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46244541420 = 223257113336547
BaseRepresentation
bin101011000100011000…
…111011001111101100
311102100212021002221100
4223010120323033230
51224202100311140
633124445003100
73224661054630
oct530430731754
9142325232840
1046244541420
1118680924480
128b67253490
13448c9cc29c
142349a74dc0
151309d26530
hexac463b3ec

46244541420 has 144 divisors (see below), whose sum is σ = 174888499968. Its totient is φ = 9609252480.

The previous prime is 46244541407. The next prime is 46244541443. The reversal of 46244541420 is 2414544264.

46244541420 is a `hidden beast` number, since 4 + 62 + 4 + 454 + 142 + 0 = 666.

It is a super-2 number, since 2×462445414202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1654414 + ... + 1682133.

It is an arithmetic number, because the mean of its divisors is an integer number (1214503472).

Almost surely, 246244541420 is an apocalyptic number.

It is an amenable number.

46244541420 is an abundant number, since it is smaller than the sum of its proper divisors (128643958548).

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

46244541420 is a wasteful number, since it uses less digits than its factorization.

46244541420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336580 (or 3336575 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 46244541420 in words is "forty-six billion, two hundred forty-four million, five hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 3336547 6673094 10009641 13346188 16682735 20019282 23355829 30028923 33365470 36702017 40038564 46711658 50048205 60057846 66730940 70067487 73404034 93423316 100096410 110106051 116779145 120115692 140134974 146808068 150144615 183510085 200192820 210202461 220212102 233558290 256914119 280269948 300289230 330318153 350337435 367020170 420404922 440424204 467116580 513828238 550530255 600578460 660636306 700674870 734040340 770742357 840809844 1027656476 1051012305 1101060510 1284570595 1321272612 1401349740 1541484714 1651590765 2102024610 2202121020 2312227071 2569141190 3082969428 3303181530 3853711785 4204049220 4624454142 5138282380 6606363060 7707423570 9248908284 11561135355 15414847140 23122270710 46244541420