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40510334343234 = 23731592632005151
BaseRepresentation
bin10010011011000000011000…
…00101101001100001000010
312022102202020212000202101010
421031200030011221201002
520302210131042440414
6222054105104221350
711350526564302560
oct1115401405514102
9168382225022333
1040510334343234
11119a93776a85a8
12466321100a856
13197b153766622
14a009d4014a30
154a3b77c52959
hex24d80c169842

40510334343234 has 128 divisors (see below), whose sum is σ = 97571658792960. Its totient is φ = 10969293384000.

The previous prime is 40510334343233. The next prime is 40510334343251. The reversal of 40510334343234 is 43234343301504.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 40510334343192 and 40510334343201.

It is not an unprimeable number, because it can be changed into a prime (40510334343233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19200559 + ... + 21205709.

It is an arithmetic number, because the mean of its divisors is an integer number (762278584320).

Almost surely, 240510334343234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40510334343234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48785829396480).

40510334343234 is an abundant number, since it is smaller than the sum of its proper divisors (57061324449726).

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

40510334343234 is a wasteful number, since it uses less digits than its factorization.

40510334343234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005516.

The product of its (nonzero) digits is 622080, while the sum is 39.

Adding to 40510334343234 its reverse (43234343301504), we get a palindrome (83744677644738).

The spelling of 40510334343234 in words is "forty trillion, five hundred ten billion, three hundred thirty-four million, three hundred forty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 31 42 59 62 93 118 177 186 217 263 354 413 434 526 651 789 826 1239 1302 1578 1829 1841 2478 3658 3682 5487 5523 8153 10974 11046 12803 15517 16306 24459 25606 31034 38409 46551 48918 57071 76818 93102 108619 114142 171213 217238 325857 342426 481027 651714 962054 1443081 2005151 2886162 3367189 4010302 6015453 6734378 10101567 12030906 14036057 20203134 28072114 42108171 62159681 84216342 118303909 124319362 186479043 236607818 354911727 372958086 435117767 527354713 709823454 828127363 870235534 1054709426 1305353301 1582064139 1656254726 2484382089 2610706602 3164128278 3667421179 3691482991 4968764178 7334842358 7382965982 11002263537 11074448973 16347996103 22004527074 22148897946 25671948253 31113928067 32695992206 49043988309 51343896506 62227856134 77015844759 93341784201 98087976618 114435972721 154031689518 186683568402 217797496469 228871945442 343307918163 435594992938 653392489407 686615836326 964531770077 1306784978814 1929063540154 2893595310231 5787190620462 6751722390539 13503444781078 20255167171617 40510334343234