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40805521512696 = 233219197151414201
BaseRepresentation
bin10010100011100110001101…
…00111010101100011111000
312100110222011221202122210100
421101303012213111203320
520322024202001401241
6222441444153515400
711411046601656303
oct1121630647254370
9170428157678710
1040805521512696
1112002585106aa6
1246b0472712b60
13199cc3744a8c5
14a10dd7c97b3a
154ab6a2b2c9b6
hex251cc69d58f8

40805521512696 has 96 divisors (see below), whose sum is σ = 116922046784400. Its totient is φ = 12820543142400.

The previous prime is 40805521512689. The next prime is 40805521512731. The reversal of 40805521512696 is 69621512550804.

40805521512696 is a `hidden beast` number, since 4 + 0 + 8 + 0 + 5 + 521 + 5 + 1 + 26 + 96 = 666.

40805521512696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75437605 + ... + 75976596.

Almost surely, 240805521512696 is an apocalyptic number.

It is an amenable number.

40805521512696 is an abundant number, since it is smaller than the sum of its proper divisors (76116525271704).

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

40805521512696 is a wasteful number, since it uses less digits than its factorization.

40805521512696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151414429 (or 151414422 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 40805521512696 in words is "forty trillion, eight hundred five billion, five hundred twenty-one million, five hundred twelve thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 197 228 342 394 456 591 684 788 1182 1368 1576 1773 2364 3546 3743 4728 7092 7486 11229 14184 14972 22458 29944 33687 44916 67374 89832 134748 269496 151414201 302828402 454242603 605656804 908485206 1211313608 1362727809 1816970412 2725455618 2876869819 3633940824 5450911236 5753739638 8630609457 10901822472 11507479276 17261218914 23014958552 25891828371 29828597597 34522437828 51783656742 59657195194 69044875656 89485792791 103567313484 119314390388 178971585582 207134626968 238628780776 268457378373 357943171164 536914756746 566743354343 715886342328 1073829513492 1133486708686 1700230063029 2147659026984 2266973417372 3400460126058 4533946834744 5100690189087 6800920252116 10201380378174 13601840504232 20402760756348 40805521512696