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4401013010040 = 2332526945446231
BaseRepresentation
bin100000000001011000011…
…0100010010111001111000
3120120201210011102022110100
41000002300310102321320
51034101233312310130
613205444130315400
7632651130232143
oct100026064227170
916521704368410
104401013010040
111447506123449
125b0b42428b60
1325c02427a8aa
1411301dc7905a
15797317a4c60
hex400b0d12e78

4401013010040 has 96 divisors (see below), whose sum is σ = 14356464688800. Its totient is φ = 1169240605440.

The previous prime is 4401013010021. The next prime is 4401013010057. The reversal of 4401013010040 is 400103101044.

It is a super-2 number, since 2×44010130100402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4401013009995 and 4401013010022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22626276 + ... + 22819955.

It is an arithmetic number, because the mean of its divisors is an integer number (149546507175).

Almost surely, 24401013010040 is an apocalyptic number.

4401013010040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4401013010040 is an abundant number, since it is smaller than the sum of its proper divisors (9955451678760).

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

4401013010040 is a wasteful number, since it uses less digits than its factorization.

4401013010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45446517 (or 45446510 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 4401013010040 its reverse (400103101044), we get a palindrome (4801116111084).

The spelling of 4401013010040 in words is "four trillion, four hundred one billion, thirteen million, ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 269 360 538 807 1076 1345 1614 2152 2421 2690 3228 4035 4842 5380 6456 8070 9684 10760 12105 16140 19368 24210 32280 48420 96840 45446231 90892462 136338693 181784924 227231155 272677386 363569848 409016079 454462310 545354772 681693465 818032158 908924620 1090709544 1363386930 1636064316 1817849240 2045080395 2726773860 3272128632 4090160790 5453547720 8180321580 12225036139 16360643160 24450072278 36675108417 48900144556 61125180695 73350216834 97800289112 110025325251 122250361390 146700433668 183375542085 220050650502 244500722780 293400867336 366751084170 440101301004 489001445560 550126626255 733502168340 880202602008 1100253252510 1467004336680 2200506505020 4401013010040