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40101022314414 = 23311292351279779
BaseRepresentation
bin10010001111000101111110…
…01100001010111110101110
312020222121202012020022022000
421013202333030022332232
520224003343203030124
6221142053315033130
711306126500411515
oct1107427714127656
9166877665208260
1040101022314414
1111860825735116
1245b7a1b29b7a6
13194b682b28079
149c8c8521567c
154981bda946c9
hex2478bf30afae

40101022314414 has 64 divisors (see below), whose sum is σ = 89230571136000. Its totient is φ = 13349439403200.

The previous prime is 40101022314377. The next prime is 40101022314421. The reversal of 40101022314414 is 41441322010104.

40101022314414 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 10 + 2 + 231 + 4 + 414 = 666.

It is a super-2 number, since 2×401010223144142 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143191177 + ... + 143470955.

It is an arithmetic number, because the mean of its divisors is an integer number (1394227674000).

Almost surely, 240101022314414 is an apocalyptic number.

40101022314414 is an abundant number, since it is smaller than the sum of its proper divisors (49129548821586).

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

40101022314414 is a wasteful number, since it uses less digits than its factorization.

40101022314414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283270 (or 283264 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 40101022314414 its reverse (41441322010104), we get a palindrome (81542344324518).

The spelling of 40101022314414 in words is "forty trillion, one hundred one billion, twenty-two million, three hundred fourteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 1129 2258 2351 3387 4702 6774 7053 10161 14106 20322 21159 30483 42318 60966 63477 126954 279779 559558 839337 1678674 2518011 2654279 5036022 5308558 7554033 7962837 15108066 15925674 23888511 47777022 71665533 143331066 315870491 631740982 657760429 947611473 1315520858 1895222946 1973281287 2842834419 3946562574 5685668838 5919843861 8528503257 11839687722 17057006514 17759531583 35519063166 742611524341 1485223048682 2227834573023 4455669146046 6683503719069 13367007438138 20050511157207 40101022314414