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142563440224 = 2537175368687
BaseRepresentation
bin1000010011000101110…
…0010111011001100000
3111121222111021010122201
42010301130113121200
54313432220041344
6145254233142544
713204566150652
oct2046134273140
9447874233581
10142563440224
1155508388787
122376825aa54
131059c9a422a
146c85c746d2
153a95cce4d4
hex2131717660

142563440224 has 48 divisors (see below), whose sum is σ = 288426132288. Its totient is φ = 69314614272.

The previous prime is 142563440219. The next prime is 142563440231. The reversal of 142563440224 is 422044365241.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 2041209 + ... + 2109895.

It is an arithmetic number, because the mean of its divisors is an integer number (6008877756).

Almost surely, 2142563440224 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 142563440224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144213066144).

142563440224 is an abundant number, since it is smaller than the sum of its proper divisors (145862692064).

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

142563440224 is a wasteful number, since it uses less digits than its factorization.

142563440224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70487 (or 70479 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

The spelling of 142563440224 in words is "one hundred forty-two billion, five hundred sixty-three million, four hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 1753 3506 7012 14024 28048 56096 64861 68687 129722 137374 259444 274748 518888 549496 1037776 1098992 2075552 2197984 2541419 5082838 10165676 20331352 40662704 81325408 120408311 240816622 481633244 963266488 1926532976 3853065952 4455107507 8910215014 17820430028 35640860056 71281720112 142563440224