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40522041252 = 223271119973459
BaseRepresentation
bin100101101111010011…
…010100011110100100
310212121001100222110200
4211233103110132210
51130442120310002
630340543550500
72633113444650
oct455723243644
9125531328420
1040522041252
11162046aa3a0
127a2a8bb430
133a8a283c04
141d65a5da60
1510c2755b1c
hex96f4d47a4

40522041252 has 144 divisors (see below), whose sum is σ = 128349312000. Its totient is φ = 10472172480.

The previous prime is 40522041221. The next prime is 40522041269. The reversal of 40522041252 is 25214022504.

40522041252 is a `hidden beast` number, since 405 + 2 + 2 + 0 + 4 + 1 + 252 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 514899 + ... + 588357.

Almost surely, 240522041252 is an apocalyptic number.

40522041252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40522041252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64174656000).

40522041252 is an abundant number, since it is smaller than the sum of its proper divisors (87827270748).

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

40522041252 is a wasteful number, since it uses less digits than its factorization.

40522041252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73686 (or 73681 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 40522041252 its reverse (25214022504), we get a palindrome (65736063756).

The spelling of 40522041252 in words is "forty billion, five hundred twenty-two million, forty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 199 231 252 308 396 398 462 597 693 796 924 1194 1386 1393 1791 2189 2388 2772 2786 3582 4179 4378 5572 6567 7164 8358 8756 12537 13134 15323 16716 19701 25074 26268 30646 39402 45969 50148 61292 73459 78804 91938 137907 146918 183876 220377 275814 293836 440754 514213 551628 661131 808049 881508 1028426 1322262 1542639 1616098 2056852 2424147 2644524 3085278 3232196 4627917 4848294 5656343 6170556 7272441 9255834 9696588 11312686 14544882 14618341 16969029 18511668 22625372 29089764 29236682 33938058 43855023 50907087 58473364 67876116 87710046 101814174 102328387 131565069 160801751 175420092 203628348 204656774 263130138 306985161 321603502 409313548 482405253 526260276 613970322 643207004 920955483 964810506 1125612257 1227940644 1447215759 1841910966 1929621012 2251224514 2894431518 3376836771 3683821932 4502449028 5788863036 6753673542 10130510313 13507347084 20261020626 40522041252