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40052313504 = 2532799719927
BaseRepresentation
bin100101010011010011…
…011100110110100000
310211101022111100010200
4211103103130312200
51124011343013004
630222204025200
72615351022210
oct452323346640
9124338440120
1040052313504
1115a93539a45
127919532200
133a13b6a9b8
141d1d508240
1510963bc239
hex9534dcda0

40052313504 has 144 divisors (see below), whose sum is σ = 130307119488. Its totient is φ = 11431466496.

The previous prime is 40052313487. The next prime is 40052313523. The reversal of 40052313504 is 40531325004.

40052313504 is a `hidden beast` number, since 4 + 0 + 0 + 523 + 135 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 1999989 + ... + 2019915.

It is an arithmetic number, because the mean of its divisors is an integer number (904910552).

Almost surely, 240052313504 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 40052313504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65153559744).

40052313504 is an abundant number, since it is smaller than the sum of its proper divisors (90254805984).

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

40052313504 is a wasteful number, since it uses less digits than its factorization.

40052313504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20947 (or 20936 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 40052313504 its reverse (40531325004), we get a palindrome (80583638508).

The spelling of 40052313504 in words is "forty billion, fifty-two million, three hundred thirteen thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 997 1008 1994 2016 2991 3988 5982 6979 7976 8973 11964 13958 15952 17946 19927 20937 23928 27916 31904 35892 39854 41874 47856 55832 59781 62811 71784 79708 83748 95712 111664 119562 125622 139489 143568 159416 167496 179343 223328 239124 251244 278978 287136 318832 334992 358686 418467 478248 502488 557956 637664 669984 717372 836934 956496 1004976 1115912 1255401 1434744 1673868 1912992 2009952 2231824 2510802 2869488 3347736 4463648 5021604 5738976 6695472 10043208 13390944 19867219 20086416 39734438 40172832 59601657 79468876 119203314 139070533 158937752 178804971 238406628 278141066 317875504 357609942 417211599 476813256 556282132 635751008 715219884 834423198 953626512 1112564264 1251634797 1430439768 1668846396 1907253024 2225128528 2503269594 2860879536 3337692792 4450257056 5006539188 5721759072 6675385584 10013078376 13350771168 20026156752 40052313504