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40113681813400 = 23521316829916771
BaseRepresentation
bin10010001111011101100011…
…10000010100111110011000
312021000211102110022111011211
421013232301300110332120
520224210310021012100
6221151545424032504
711310055300364026
oct1107566160247630
9167024373274154
1040113681813400
1111866131693078
1245ba372a62734
13194c91c7bb380
149c9726667716
154986b01871ba
hex247bb1c14f98

40113681813400 has 96 divisors (see below), whose sum is σ = 100444565667600. Its totient is φ = 14810309337600.

The previous prime is 40113681813347. The next prime is 40113681813409. The reversal of 40113681813400 is 431818631104.

40113681813400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40113681813409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43297015 + ... + 44213785.

Almost surely, 240113681813400 is an apocalyptic number.

40113681813400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40113681813400 is an abundant number, since it is smaller than the sum of its proper divisors (60330883854200).

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

40113681813400 is a wasteful number, since it uses less digits than its factorization.

40113681813400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933629 (or 933620 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 40113681813400 in words is "forty trillion, one hundred thirteen billion, six hundred eighty-one million, eight hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 16829 33658 67316 84145 134632 168290 218777 336580 420725 437554 673160 841450 875108 916771 1093885 1682900 1750216 1833542 2187770 3365800 3667084 4375540 4583855 5469425 7334168 8751080 9167710 10938850 11918023 18335420 21877700 22919275 23836046 36670840 43755400 45838550 47672092 59590115 91677100 95344184 119180230 183354200 238360460 297950575 476720920 595901150 1191802300 2383604600 15428339159 30856678318 61713356636 77141695795 123426713272 154283391590 200568409067 308566783180 385708478975 401136818134 617133566360 771416957950 802273636268 1002842045335 1542833915900 1604547272536 2005684090670 3085667831800 4011368181340 5014210226675 8022736362680 10028420453350 20056840906700 40113681813400