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31142534250 = 2353194914451
BaseRepresentation
bin11101000000001111…
…010101110001101010
32222101101011122201110
4131000033111301222
51002234442044000
622150124331150
72151512113332
oct350017256152
988341148643
1031142534250
111223116aa13
1260516a3ab6
132c23cb8c79
14171609a0c2
15c240b2850
hex7403d5c6a

31142534250 has 128 divisors (see below), whose sum is σ = 82007976960. Its totient is φ = 7849800000.

The previous prime is 31142534219. The next prime is 31142534273. The reversal of 31142534250 is 5243524113.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 6994525 + ... + 6998975.

It is an arithmetic number, because the mean of its divisors is an integer number (640687320).

Almost surely, 231142534250 is an apocalyptic number.

31142534250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31142534250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41003988480).

31142534250 is an abundant number, since it is smaller than the sum of its proper divisors (50865442710).

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

31142534250 is a wasteful number, since it uses less digits than its factorization.

31142534250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4981 (or 4971 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 31142534250 in words is "thirty-one billion, one hundred forty-two million, five hundred thirty-four thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 125 150 190 250 285 375 475 491 570 750 950 982 1425 1473 2375 2455 2850 2946 4451 4750 4910 7125 7365 8902 9329 12275 13353 14250 14730 18658 22255 24550 26706 27987 36825 44510 46645 55974 61375 66765 73650 84569 93290 111275 122750 133530 139935 169138 184125 222550 233225 253707 279870 333825 368250 422845 466450 507414 556375 667650 699675 845690 1112750 1166125 1268535 1399350 1669125 2114225 2185441 2332250 2537070 3338250 3498375 4228450 4370882 6342675 6556323 6996750 10571125 10927205 12685350 13112646 21142250 21854410 31713375 32781615 41523379 54636025 63426750 65563230 83046758 109272050 124570137 163908075 207616895 249140274 273180125 327816150 415233790 546360250 622850685 819540375 1038084475 1245701370 1639080750 2076168950 3114253425 5190422375 6228506850 10380844750 15571267125 31142534250