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142269329224 = 231117219312897
BaseRepresentation
bin1000010001111111101…
…0011010111101001000
3111121012222211202012201
42010133322122331020
54312331422013344
6145205125245544
713164365226331
oct2043772327510
9447188752181
10142269329224
1155377366840
12236a58638b4
1310553a88a59
146c58b95288
153a7a0854d4
hex211fe9af48

142269329224 has 96 divisors (see below), whose sum is σ = 309397203360. Its totient is φ = 60811366400.

The previous prime is 142269329197. The next prime is 142269329287. The reversal of 142269329224 is 422923962241.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49107744 + ... + 49110640.

It is an arithmetic number, because the mean of its divisors is an integer number (3222887535).

Almost surely, 2142269329224 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 142269329224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154698601680).

142269329224 is an abundant number, since it is smaller than the sum of its proper divisors (167127874136).

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

142269329224 is a wasteful number, since it uses less digits than its factorization.

142269329224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4879 (or 4858 counting only the distinct ones).

The product of its digits is 746496, while the sum is 46.

The spelling of 142269329224 in words is "one hundred forty-two billion, two hundred sixty-nine million, three hundred twenty-nine thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 289 374 578 748 1156 1496 1931 2312 2897 3179 3862 5794 6358 7724 11588 12716 15448 21241 23176 25432 31867 32827 42482 49249 63734 65654 84964 98498 127468 131308 169928 196996 254936 262616 361097 393992 541739 558059 722194 837233 1083478 1116118 1444388 1674466 2166956 2232236 2888776 3348932 4333912 4464472 5594107 6138649 6697864 9209563 11188214 12277298 18419126 22376428 24554596 36838252 44752856 49109192 61535177 73676504 95099819 123070354 190199638 246140708 380399276 492281416 760798552 1046098009 1616696923 2092196018 3233393846 4184392036 6466787692 8368784072 12933575384 17783666153 35567332306 71134664612 142269329224