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40001244312032 = 2517372238911853
BaseRepresentation
bin10010001100001100000111…
…11101010011000111100000
312020122002012111022121112022
421012012003331103013200
520220340022020441112
6221024152402121012
711265665060366423
oct1106060375230740
9166562174277468
1040001244312032
1111822483647123
1245a0613950168
131942141305383
149c40db8619ba
154957ce0abd72
hex246183f531e0

40001244312032 has 96 divisors (see below), whose sum is σ = 86022633215232. Its totient is φ = 18233221423104.

The previous prime is 40001244312023. The next prime is 40001244312053. The reversal of 40001244312032 is 23021344210004.

It is a junction number, because it is equal to n+sod(n) for n = 40001244311992 and 40001244312010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32618 + ... + 8944470.

It is an arithmetic number, because the mean of its divisors is an integer number (896069095992).

Almost surely, 240001244312032 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 40001244312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43011316607616).

40001244312032 is an abundant number, since it is smaller than the sum of its proper divisors (46021388903200).

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

40001244312032 is a wasteful number, since it uses less digits than its factorization.

40001244312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8912140 (or 8912132 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 40001244312032 its reverse (23021344210004), we get a palindrome (63022588522036).

The spelling of 40001244312032 in words is "forty trillion, one billion, two hundred forty-four million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 136 148 223 272 296 446 544 592 629 892 1184 1258 1784 2516 3568 3791 5032 7136 7582 8251 10064 15164 16502 20128 30328 33004 60656 66008 121312 132016 140267 264032 280534 561068 1122136 2244272 4488544 8911853 17823706 35647412 71294824 142589648 151501501 285179296 303003002 329738561 606006004 659477122 1212012008 1318954244 1987343219 2424024016 2637908488 3974686438 4848048032 5275816976 5605555537 7949372876 10551633952 11211111074 15898745752 22422222148 31797491504 33784834723 44844444296 63594983008 67569669446 73531699103 89688888592 135139338892 147063398206 179377777184 270278677784 294126796412 540557355568 588253592824 1081114711136 1176507185648 1250038884751 2353014371296 2500077769502 5000155539004 10000311078008 20000622156016 40001244312032