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40341331120 = 24510125719427
BaseRepresentation
bin100101100100100001…
…111101110010110000
310212010110022221202211
4211210201331302300
51130104340043440
630311010421504
72625460441156
oct454441756260
9125113287684
1040341331120
11161216a2182
12799a291894
133a5b9c1a3c
141d49a5d3d6
1510b195beea
hex96487dcb0

40341331120 has 80 divisors (see below), whose sum is σ = 95095708128. Its totient is φ = 15913779200.

The previous prime is 40341331111. The next prime is 40341331133. The reversal of 40341331120 is 2113314304.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 40341331091 and 40341331100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2066847 + ... + 2086273.

Almost surely, 240341331120 is an apocalyptic number.

40341331120 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 40341331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47547854064).

40341331120 is an abundant number, since it is smaller than the sum of its proper divisors (54754377008).

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

40341331120 is a wasteful number, since it uses less digits than its factorization.

40341331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19798 (or 19792 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 40341331120 its reverse (2113314304), we get a palindrome (42454645424).

The spelling of 40341331120 in words is "forty billion, three hundred forty-one million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 257 404 505 514 808 1010 1028 1285 1616 2020 2056 2570 4040 4112 5140 8080 10280 19427 20560 25957 38854 51914 77708 97135 103828 129785 155416 194270 207656 259570 310832 388540 415312 519140 777080 1038280 1554160 1962127 2076560 3924254 4992739 7848508 9810635 9985478 15697016 19621270 19970956 24963695 31394032 39242540 39941912 49927390 78485080 79883824 99854780 156970160 199709560 399419120 504266639 1008533278 2017066556 2521333195 4034133112 5042666390 8068266224 10085332780 20170665560 40341331120