Search a number
-
+
144149877097632 = 25327112963332963
BaseRepresentation
bin100000110001101010000010…
…001110000000010010100000
3200220101121000210010200001100
4200301222002032000102200
5122343222422014111012
61230325312255234400
742235325222433420
oct4061520216002240
9626347023120040
10144149877097632
1141a2668a70765a
1214201266218a00
136258376486593
142784c69948480
15119ea0839a8dc
hex831a823804a0

144149877097632 has 144 divisors (see below), whose sum is σ = 468902065544640. Its totient is φ = 41149198734336.

The previous prime is 144149877097621. The next prime is 144149877097649. The reversal of 144149877097632 is 236790778941441.

144149877097632 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 498 + 7 + 70 + 9 + 7 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 29390418 + ... + 33942545.

It is an arithmetic number, because the mean of its divisors is an integer number (3256264344060).

Almost surely, 2144149877097632 is an apocalyptic number.

144149877097632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144149877097632 is an abundant number, since it is smaller than the sum of its proper divisors (324752188447008).

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

144149877097632 is a wasteful number, since it uses less digits than its factorization.

144149877097632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63334115 (or 63334104 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 144149877097632 in words is "one hundred forty-four trillion, one hundred forty-nine billion, eight hundred seventy-seven million, ninety-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1129 2016 2258 3387 4516 6774 7903 9032 10161 13548 15806 18064 20322 23709 27096 31612 36128 40644 47418 54192 63224 71127 81288 94836 108384 126448 142254 162576 189672 252896 284508 325152 379344 569016 758688 1138032 2276064 63332963 126665926 189998889 253331852 379997778 443330741 506663704 569996667 759995556 886661482 1013327408 1139993334 1329992223 1519991112 1773322964 2026654816 2279986668 2659984446 3039982224 3546645928 3989976669 4559973336 5319968892 6079964448 7093291856 7979953338 9119946672 10639937784 14186583712 15959906676 18239893344 21279875568 31919813352 42559751136 63839626704 71502915227 127679253408 143005830454 214508745681 286011660908 429017491362 500520406589 572023321816 643526237043 858034982724 1001040813178 1144046643632 1287052474086 1501561219767 1716069965448 2002081626356 2288093287264 2574104948172 3003122439534 3432139930896 4004163252712 4504683659301 5148209896344 6006244879068 6864279861792 8008326505424 9009367318602 10296419792688 12012489758136 16016653010848 18018734637204 20592839585376 24024979516272 36037469274408 48049959032544 72074938548816 144149877097632