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42882078144 = 263733059509
BaseRepresentation
bin100111111011111110…
…001001010111000000
311002200112012021110110
4213323332021113000
51200310303000034
631411051431320
73045441435663
oct477376112700
9132615167413
1042882078144
11172058a7004
128389155540
1340751b9a49
14210b2796da
1511aea35de9
hex9fbf895c0

42882078144 has 56 divisors (see below), whose sum is σ = 115013099920. Its totient is φ = 14098212864.

The previous prime is 42882078103. The next prime is 42882078157. The reversal of 42882078144 is 44187028824.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 42882078093 and 42882078102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1515739 + ... + 1543770.

Almost surely, 242882078144 is an apocalyptic number.

It is an amenable number.

42882078144 is an abundant number, since it is smaller than the sum of its proper divisors (72131021776).

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

42882078144 is a wasteful number, since it uses less digits than its factorization.

42882078144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059597 (or 3059587 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 48.

The spelling of 42882078144 in words is "forty-two billion, eight hundred eighty-two million, seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 876 1168 1752 2336 3504 4672 7008 14016 3059509 6119018 9178527 12238036 18357054 24476072 36714108 48952144 73428216 97904288 146856432 195808576 223344157 293712864 446688314 587425728 670032471 893376628 1340064942 1786753256 2680129884 3573506512 5360259768 7147013024 10720519536 14294026048 21441039072 42882078144