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142009366920 = 233531331115331
BaseRepresentation
bin1000010001000001101…
…0101111100110001000
3111120112212200021222020
42010100122233212020
54311313344220140
6145123241324440
713155060462621
oct2042032574610
9446485607866
10142009366920
1155253649263
1223632796720
1310511c689c5
146c32444a48
153a623346d0
hex21106af988

142009366920 has 128 divisors (see below), whose sum is σ = 441103380480. Its totient is φ = 36536544000.

The previous prime is 142009366913. The next prime is 142009366943. The reversal of 142009366920 is 29663900241.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1173655 + ... + 1288985.

It is an arithmetic number, because the mean of its divisors is an integer number (3446120160).

Almost surely, 2142009366920 is an apocalyptic number.

142009366920 is a gapful number since it is divisible by the number (10) 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 142009366920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220551690240).

142009366920 is an abundant number, since it is smaller than the sum of its proper divisors (299094013560).

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

142009366920 is a wasteful number, since it uses less digits than its factorization.

142009366920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115707 (or 115703 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 142009366920 in words is "one hundred forty-two billion, nine million, three hundred sixty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 331 372 465 620 662 744 930 993 1240 1324 1655 1860 1986 2648 3310 3720 3972 4965 6620 7944 9930 10261 13240 19860 20522 30783 39720 41044 51305 61566 82088 102610 115331 123132 153915 205220 230662 246264 307830 345993 410440 461324 576655 615660 691986 922648 1153310 1231320 1383972 1729965 2306620 2767944 3459930 3575261 4613240 6919860 7150522 10725783 13839720 14301044 17876305 21451566 28602088 35752610 38174561 42903132 53628915 71505220 76349122 85806264 107257830 114523683 143010440 152698244 190872805 214515660 229047366 305396488 381745610 429031320 458094732 572618415 763491220 916189464 1145236830 1183411391 1526982440 2290473660 2366822782 3550234173 4580947320 4733645564 5917056955 7100468346 9467291128 11834113910 14200936692 17751170865 23668227820 28401873384 35502341730 47336455640 71004683460 142009366920