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40978150470152 = 2378916015135503
BaseRepresentation
bin10010101000100111110000…
…00110100011001000001000
312101002110202202121022120022
421110103320012203020020
520332341223010021102
6223053034043320012
711426400524622410
oct1124237006431010
9171073682538508
1040978150470152
1112069810707885
124719a0b820008
1319b32b8c461cc
14a194d2b4d640
154b0e081785a2
hex2544f81a3208

40978150470152 has 64 divisors (see below), whose sum is σ = 88852436006400. Its totient is φ = 17353888358400.

The previous prime is 40978150470137. The next prime is 40978150470163. The reversal of 40978150470152 is 25107405187904.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 40978150470094 and 40978150470103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5411633 + ... + 10547135.

It is an arithmetic number, because the mean of its divisors is an integer number (1388319312600).

Almost surely, 240978150470152 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 40978150470152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44426218003200).

40978150470152 is an abundant number, since it is smaller than the sum of its proper divisors (47874285536248).

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

40978150470152 is a wasteful number, since it uses less digits than its factorization.

40978150470152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5137206 (or 5137202 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 53.

The spelling of 40978150470152 in words is "forty trillion, nine hundred seventy-eight billion, one hundred fifty million, four hundred seventy thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 89 178 356 623 712 1246 1601 2492 3202 4984 6404 11207 12808 22414 44828 89656 142489 284978 569956 997423 1139912 1994846 3989692 5135503 7979384 10271006 20542012 35948521 41084024 71897042 143794084 287588168 457059767 914119534 1828239068 3199418369 3656478136 6398836738 8221940303 12797673476 16443880606 25595346952 32887761212 57553582121 65775522424 115107164242 230214328484 460428656968 731752686967 1463505373934 2927010747868 5122268808769 5854021495736 10244537617538 20489075235076 40978150470152