Search a number
-
+
144132111555040 = 2557196773125543
BaseRepresentation
bin100000110001011001011111…
…010011110101100111100000
3200220022220011200010121010101
4200301121133103311213200
5122342430031024230130
61230313213350112144
742234126042010540
oct4061313723654740
9626286150117111
10144132111555040
1141a1a0a3502554
12141b992864b654
1362567a49b60bb
14278406230d320
15119e3188a61ca
hex83165f4f59e0

144132111555040 has 96 divisors (see below), whose sum is σ = 409638632901120. Its totient is φ = 46815843746304.

The previous prime is 144132111555023. The next prime is 144132111555067. The reversal of 144132111555040 is 40555111231441.

144132111555040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3386541492 + ... + 3386584051.

It is an arithmetic number, because the mean of its divisors is an integer number (4267069092720).

Almost surely, 2144132111555040 is an apocalyptic number.

144132111555040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144132111555040 is an abundant number, since it is smaller than the sum of its proper divisors (265506521346080).

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

144132111555040 is a wasteful number, since it uses less digits than its factorization.

144132111555040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6773125584 (or 6773125576 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 37.

Adding to 144132111555040 its reverse (40555111231441), we get a palindrome (184687222786481).

The spelling of 144132111555040 in words is "one hundred forty-four trillion, one hundred thirty-two billion, one hundred eleven million, five hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 70 76 80 95 112 133 140 152 160 190 224 266 280 304 380 532 560 608 665 760 1064 1120 1330 1520 2128 2660 3040 4256 5320 10640 21280 6773125543 13546251086 27092502172 33865627715 47411878801 54185004344 67731255430 94823757602 108370008688 128689385317 135462510860 189647515204 216740017376 237059394005 257378770634 270925021720 379295030408 474118788010 514757541268 541850043440 643446926585 758590060816 900825697219 948237576020 1029515082536 1083700086880 1286893853170 1517180121632 1801651394438 1896475152040 2059030165072 2573787706340 3603302788876 3792950304080 4118060330144 4504128486095 5147575412680 7206605577752 7585900608160 9008256972190 10295150825360 14413211155504 18016513944380 20590301650720 28826422311008 36033027888760 72066055777520 144132111555040