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40024135056 = 24319418571249
BaseRepresentation
bin100101010001100111…
…111101010110010000
310211022100110201120110
4211101213331112100
51123432134310211
630215320041320
72614556351253
oct452147752620
9124270421513
1040024135056
1115a79643074
127910003240
133a0b082b69
141d1989109a
151093ba2ea6
hex9519fd590

40024135056 has 160 divisors (see below), whose sum is σ = 111711600000. Its totient is φ = 12306677760.

The previous prime is 40024135051. The next prime is 40024135057. The reversal of 40024135056 is 65053142004.

40024135056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40024135051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32044320 + ... + 32045568.

It is an arithmetic number, because the mean of its divisors is an integer number (698197500).

Almost surely, 240024135056 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 40024135056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55855800000).

40024135056 is an abundant number, since it is smaller than the sum of its proper divisors (71687464944).

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

40024135056 is a wasteful number, since it uses less digits than its factorization.

40024135056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 40024135056 in words is "forty billion, twenty-four million, one hundred thirty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 41 48 57 76 82 114 123 152 164 228 246 304 328 456 492 656 779 857 912 984 1249 1558 1714 1968 2337 2498 2571 3116 3428 3747 4674 4996 5142 6232 6856 7494 9348 9992 10284 12464 13712 14988 16283 18696 19984 20568 23731 29976 32566 35137 37392 41136 47462 48849 51209 59952 65132 70274 71193 94924 97698 102418 105411 130264 140548 142386 153627 189848 195396 204836 210822 260528 281096 284772 307254 379696 390792 409672 421644 562192 569544 614508 667603 781584 819344 843288 972971 1070393 1139088 1229016 1335206 1686576 1945942 2002809 2140786 2458032 2670412 2918913 3211179 3891884 4005618 4281572 5340824 5837826 6422358 7783768 8011236 8563144 10681648 11675652 12844716 15567536 16022472 17126288 20337467 23351304 25689432 32044944 40674934 43886113 46702608 51378864 61012401 81349868 87772226 122024802 131658339 162699736 175544452 244049604 263316678 325399472 351088904 488099208 526633356 702177808 833836147 976198416 1053266712 1667672294 2106533424 2501508441 3335344588 5003016882 6670689176 10006033764 13341378352 20012067528 40024135056