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144134303203992 = 233376717911135257
BaseRepresentation
bin100000110001011011100001…
…111100010100001010011000
3200220100002211102002220021210
4200301123201330110022120
5122342444023110011432
61230314215040503120
742234234253505613
oct4061334174241230
9626302742086253
10144134303203992
1141a20018648882
12141ba23a61aaa0
136256a63a825ba
1427841cd41517a
15119e3e5ec38cc
hex8316e1f14298

144134303203992 has 128 divisors (see below), whose sum is σ = 375621810531840. Its totient is φ = 46045643719680.

The previous prime is 144134303203981. The next prime is 144134303204009. The reversal of 144134303203992 is 299302303431441.

It is a congruent number.

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, 1065565228 + ... + 1065700484.

It is an arithmetic number, because the mean of its divisors is an integer number (2934545394780).

Almost surely, 2144134303203992 is an apocalyptic number.

144134303203992 is a gapful number since it is divisible by the number (12) 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 144134303203992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187810905265920).

144134303203992 is an abundant number, since it is smaller than the sum of its proper divisors (231487507327848).

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

144134303203992 is a wasteful number, since it uses less digits than its factorization.

144134303203992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153281 (or 153277 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 48.

The spelling of 144134303203992 in words is "one hundred forty-four trillion, one hundred thirty-four billion, three hundred three million, two hundred three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 37 67 74 111 134 148 201 222 268 296 402 444 536 804 888 1608 2479 4958 7437 9916 14874 17911 19832 29748 35822 53733 59496 71644 107466 135257 143288 214932 270514 405771 429864 541028 662707 811542 1082056 1200037 1325414 1623084 1988121 2400074 2650828 3246168 3600111 3976242 4800148 5004509 5301656 7200222 7952484 9062219 9600296 10009018 14400444 15013527 15904968 18124438 20018036 27186657 28800888 30027054 36248876 40036072 44401369 54373314 60054108 72497752 88802738 108746628 120108216 133204107 177605476 217493256 266408214 335302103 355210952 532816428 670604206 1005906309 1065632856 1341208412 2011812618 2422588127 2682416824 4023625236 4845176254 7267764381 8047250472 9690352508 14535528762 19380705016 29071057524 58142115048 89635760699 162313404509 179271521398 268907282097 324626809018 358543042796 486940213527 537814564194 649253618036 717086085592 973880427054 1075629128388 1298507236072 1947760854108 2151258256776 3895521708216 6005595966833 12011191933666 18016787900499 24022383867332 36033575800998 48044767734664 72067151601996 144134303203992