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9000419142 = 231113362071
BaseRepresentation
bin10000110000111011…
…10111111101000110
3212020020212122222010
420120131313331012
5121413101403032
64045034115050
7436016205021
oct103035677506
925206778863
109000419142
1138a9558130
1218b227ba86
13b05899000
146154c41b8
1537a260ccc
hex218777f46

9000419142 has 64 divisors (see below), whose sum is σ = 21273315840. Its totient is φ = 2517559200.

The previous prime is 9000419081. The next prime is 9000419159. The reversal of 9000419142 is 2419140009.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113967 + ... + 176037.

It is an arithmetic number, because the mean of its divisors is an integer number (332395560).

Almost surely, 29000419142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9000419142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10636657920).

9000419142 is an abundant number, since it is smaller than the sum of its proper divisors (12272896698).

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

9000419142 is a wasteful number, since it uses less digits than its factorization.

9000419142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62126 (or 62100 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 9000419142 is about 94870.5388516372. The cubic root of 9000419142 is about 2080.1161133097.

The spelling of 9000419142 in words is "nine billion, four hundred nineteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 169 286 338 429 507 858 1014 1859 2197 3718 4394 5577 6591 11154 13182 24167 48334 62071 72501 124142 145002 186213 372426 682781 806923 1365562 1613846 2048343 2420769 4096686 4841538 8876153 10489999 17752306 20979998 26628459 31469997 53256918 62939994 115389989 136369987 230779978 272739974 346169967 409109961 692339934 818219922 1500069857 3000139714 4500209571 9000419142