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40432041024 = 263477276163
BaseRepresentation
bin100101101001111011…
…111111110001000000
310212100210000111100220
4211221323333301000
51130301100303044
630324010543040
72630641451424
oct455173776100
9125323014326
1040432041024
1116168918941
127a04737a80
133a74731b3b
141d57b12b84
1510b98c9019
hex969effc40

40432041024 has 112 divisors (see below), whose sum is σ = 109420566528. Its totient is φ = 13170313728.

The previous prime is 40432041017. The next prime is 40432041037. The reversal of 40432041024 is 42014023404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 40432040985 and 40432041003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6557367 + ... + 6563529.

It is an arithmetic number, because the mean of its divisors is an integer number (976969344).

Almost surely, 240432041024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40432041024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54710283264).

40432041024 is an abundant number, since it is smaller than the sum of its proper divisors (68988525504).

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

40432041024 is a wasteful number, since it uses less digits than its factorization.

40432041024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6952 (or 6942 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40432041024 its reverse (42014023404), we get a palindrome (82446064428).

The spelling of 40432041024 in words is "forty billion, four hundred thirty-two million, forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 727 752 1128 1454 1504 2181 2256 2908 3008 4362 4512 5816 6163 8724 9024 11632 12326 17448 18489 23264 24652 34169 34896 36978 46528 49304 68338 69792 73956 98608 102507 136676 139584 147912 197216 205014 273352 289661 295824 394432 410028 546704 579322 591648 820056 868983 1093408 1158644 1183296 1640112 1737966 2186816 2317288 3280224 3475932 4480501 4634576 6560448 6951864 8961002 9269152 13441503 13903728 17922004 18538304 26883006 27807456 35844008 53766012 55614912 71688016 107532024 143376032 210583547 215064048 286752064 421167094 430128096 631750641 842334188 860256192 1263501282 1684668376 2527002564 3369336752 5054005128 6738673504 10108010256 13477347008 20216020512 40432041024