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40023155323152 = 2432881315480793
BaseRepresentation
bin10010001100110100111011…
…11101001011000100010000
312020201011202111202022012200
421012122131331023010100
520221214410230320102
6221042214515123200
711300402046043341
oct1106323575130420
9166634674668180
1040023155323152
11118307a7862081
1245a49098a3500
13194422389a701
149c51b987a0c8
154961629ad51c
hex24669df4b110

40023155323152 has 60 divisors (see below), whose sum is σ = 112136386304124. Its totient is φ = 13325908654080.

The previous prime is 40023155323091. The next prime is 40023155323169. The reversal of 40023155323152 is 25132355132004.

40023155323152 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 31 + 553 + 23 + 1 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27541462016016 + 12481693307136 = 5247996^2 + 3532944^2 .

It is a super-3 number, since 3×400231553231523 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157613533 + ... + 157867260.

Almost surely, 240023155323152 is an apocalyptic number.

It is an amenable number.

40023155323152 is an abundant number, since it is smaller than the sum of its proper divisors (72113230980972).

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

40023155323152 is a wasteful number, since it uses less digits than its factorization.

40023155323152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315481688 (or 315481679 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 40023155323152 in words is "forty trillion, twenty-three billion, one hundred fifty-five million, three hundred twenty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 881 1762 2643 3524 5286 7048 7929 10572 14096 15858 21144 31716 42288 63432 126864 315480793 630961586 946442379 1261923172 1892884758 2523846344 2839327137 3785769516 5047692688 5678654274 7571539032 11357308548 15143078064 22714617096 45429234192 277938578633 555877157266 833815735899 1111754314532 1667631471798 2223508629064 2501447207697 3335262943596 4447017258128 5002894415394 6670525887192 10005788830788 13341051774384 20011577661576 40023155323152