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140378040252 = 223319487140473
BaseRepresentation
bin1000001010111100101…
…1101110011110111100
3111102100012001022111000
42002233023232132330
54244443234242002
6144253324330300
713066461440322
oct2025713563674
9442305038430
10140378040252
11545968203aa
12232583a3990
1310311cb5158
146b19917d12
1539b8ee861c
hex20af2ee7bc

140378040252 has 96 divisors (see below), whose sum is σ = 383887347200. Its totient is φ = 44238566016.

The previous prime is 140378040251. The next prime is 140378040317. The reversal of 140378040252 is 252040873041.

It is a happy number.

140378040252 is a `hidden beast` number, since 140 + 37 + 80 + 402 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140378040251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 929088 + ... + 1069560.

Almost surely, 2140378040252 is an apocalyptic number.

140378040252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140378040252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191943673600).

140378040252 is an abundant number, since it is smaller than the sum of its proper divisors (243509306948).

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

140378040252 is a wasteful number, since it uses less digits than its factorization.

140378040252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140992 (or 140984 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 140378040252 in words is "one hundred forty billion, three hundred seventy-eight million, forty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 487 513 684 974 1026 1461 1948 2052 2922 4383 5844 8766 9253 13149 17532 18506 26298 27759 37012 52596 55518 83277 111036 140473 166554 249831 280946 333108 421419 499662 561892 842838 999324 1264257 1685676 2528514 2668987 3792771 5057028 5337974 7585542 8006961 10675948 15171084 16013922 24020883 32027844 48041766 68410351 72062649 96083532 136820702 144125298 205231053 273641404 288250596 410462106 615693159 820924212 1231386318 1299796669 1847079477 2462772636 2599593338 3694158954 3899390007 5199186676 7388317908 7798780014 11698170021 15597560028 23396340042 35094510063 46792680084 70189020126 140378040252