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144104411431395 = 365421103390907
BaseRepresentation
bin100000110000111111101100…
…010000010000000111100011
3200220020020200012110112000000
4200300333230100100013203
5122342001313311301040
61230252352552231043
742232125436566552
oct4060775420200743
9626206605415000
10144104411431395
1141a09379505688
12141b449799b483
136253cabc51aac
1427829954ddd99
15119d746b27130
hex830fec4101e3

144104411431395 has 112 divisors (see below), whose sum is σ = 260139622287072. Its totient is φ = 76598064668160.

The previous prime is 144104411431369. The next prime is 144104411431447. The reversal of 144104411431395 is 593134114401441.

144104411431395 is a `hidden beast` number, since 1 + 4 + 4 + 104 + 411 + 43 + 1 + 3 + 95 = 666.

It is not a de Polignac number, because 144104411431395 - 25 = 144104411431363 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 144104411431395.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1585139532 + ... + 1585230438.

Almost surely, 2144104411431395 is an apocalyptic number.

144104411431395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144104411431395 is a deficient number, since it is larger than the sum of its proper divisors (116035210855677).

144104411431395 is an equidigital number, since it uses as much as digits as its factorization.

144104411431395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92384 (or 92369 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 144104411431395 in words is "one hundred forty-four trillion, one hundred four billion, four hundred eleven million, four hundred thirty-one thousand, three hundred ninety-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 421 729 1033 1215 1263 2105 3099 3645 3789 5165 6315 9297 11367 15495 18945 27891 34101 46485 56835 83673 90907 102303 139455 170505 251019 272721 306909 418365 434893 454535 511515 753057 818163 1255095 1304679 1363605 1534545 2174465 2454489 3765285 3914037 4090815 6523395 7363467 11742111 12272445 19570185 22090401 35226333 36817335 38271847 58710555 66271203 93906931 105678999 110452005 114815541 176131665 191359235 281720793 317036997 331356015 344446623 469534655 528394995 574077705 845162379 1033339869 1408603965 1585184985 1722233115 2535487137 3100019607 4225811895 5166699345 7606461411 9300058821 12677435685 15500098035 22819384233 27900176463 38032307055 39534817951 46500294105 68458152699 114096921165 118604453853 139500882315 197674089755 342290763495 355813361559 593022269265 1067440084677 1779066807795 3202320254031 5337200423385 9606960762093 16011601270155 28820882286279 48034803810465 144104411431395