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40001254116 = 223172193119583
BaseRepresentation
bin100101010000010000…
…101011001011100100
310211020202102020211020
4211100100223023210
51123410310112431
630213141411140
72614161023055
oct452020531344
9124222366736
1040001254116
1115a677352aa
127904409ab0
133a06401345
141d1681672c
151091b83696
hex95042b2e4

40001254116 has 144 divisors (see below), whose sum is σ = 107740200960. Its totient is φ = 11504816640.

The previous prime is 40001254067. The next prime is 40001254129. The reversal of 40001254116 is 61145210004.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2032861 + ... + 2052443.

It is an arithmetic number, because the mean of its divisors is an integer number (748195840).

Almost surely, 240001254116 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 40001254116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53870100480).

40001254116 is an abundant number, since it is smaller than the sum of its proper divisors (67738946844).

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

40001254116 is a wasteful number, since it uses less digits than its factorization.

40001254116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19674 (or 19655 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 40001254116 in words is "forty billion, one million, two hundred fifty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 17 19 31 34 38 51 57 62 68 76 93 102 114 124 186 204 228 289 323 372 527 578 589 646 867 969 1054 1156 1178 1292 1581 1734 1767 1938 2108 2356 3162 3468 3534 3876 5491 6324 7068 8959 10013 10982 16473 17918 19583 20026 21964 26877 30039 32946 35836 39166 40052 53754 58749 60078 65892 78332 107508 117498 120156 170221 234996 332911 340442 372077 510663 607073 665822 680884 744154 998733 1021326 1116231 1214146 1331644 1488308 1821219 1997466 2042652 2232462 2428292 3642438 3994932 4464924 5659487 6325309 7284876 10320241 11318974 11534387 12650618 16978461 18975927 20640482 22637948 23068774 25301236 30960723 33956922 34603161 37951854 41280964 46137548 61921446 67913844 69206322 75903708 107530253 123842892 138412644 175444097 196084579 215060506 322590759 350888194 392169158 430121012 526332291 588253737 645181518 701776388 784338316 1052664582 1176507474 1290363036 2105329164 2353014948 3333437843 6666875686 10000313529 13333751372 20000627058 40001254116