Search a number
-
+
144123405204324 = 223713177837421759
BaseRepresentation
bin100000110001010001011000…
…010111101111101101100100
3200220022001200220121011012110
4200301101120113233231210
5122342304213213014244
61230305213414521020
742233400223156050
oct4061213027575544
9626261626534173
10144123405204324
1141a16435a48387
12141b80b8966170
136255a1801c0a0
142783877cd6c60
15119dea93819b9
hex8314585efb64

144123405204324 has 96 divisors (see below), whose sum is σ = 413916186378240. Its totient is φ = 38008425817728.

The previous prime is 144123405204281. The next prime is 144123405204349. The reversal of 144123405204324 is 423402504321441.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15708157 + ... + 23129915.

It is an arithmetic number, because the mean of its divisors is an integer number (4311626941440).

Almost surely, 2144123405204324 is an apocalyptic number.

144123405204324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144123405204324 is an abundant number, since it is smaller than the sum of its proper divisors (269792781173916).

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

144123405204324 is a wasteful number, since it uses less digits than its factorization.

144123405204324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7439569 (or 7439567 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 39.

Adding to 144123405204324 its reverse (423402504321441), we get a palindrome (567525909525765).

The spelling of 144123405204324 in words is "one hundred forty-four trillion, one hundred twenty-three billion, four hundred five million, two hundred four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 17783 35566 53349 71132 106698 124481 213396 231179 248962 373443 462358 497924 693537 746886 924716 1387074 1493772 1618253 2774148 3236506 4854759 6473012 7421759 9709518 14843518 19419036 22265277 29687036 44530554 51952313 89061108 96482867 103904626 155856939 192965734 207809252 289448601 311713878 385931468 578897202 623427756 675380069 1157794404 1350760138 2026140207 2701520276 4052280414 8104560828 131981140297 263962280594 395943420891 527924561188 791886841782 923867982079 1583773683564 1715754823861 1847735964158 2771603946237 3431509647722 3695471928316 5147264471583 5543207892474 6863019295444 10294528943166 11086415784948 12010283767027 20589057886332 24020567534054 36030851301081 48041135068108 72061702602162 144123405204324