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140101204005 = 32572435092903
BaseRepresentation
bin1000001001111010101…
…1101011100000100101
3111101121220010120112200
42002132223223200211
54243411402012010
6144210035005113
713056560404500
oct2023653534045
9441556116480
10140101204005
1154464528214
122319b739799
1310299837819
146ad0c54137
15399ea62cc0
hex209eaeb825

140101204005 has 144 divisors (see below), whose sum is σ = 289726968960. Its totient is φ = 62412408576.

The previous prime is 140101203997. The next prime is 140101204027. The reversal of 140101204005 is 500402101041.

140101204005 is a `hidden beast` number, since 140 + 1 + 0 + 120 + 400 + 5 = 666.

It is not a de Polignac number, because 140101204005 - 23 = 140101203997 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48259384 + ... + 48262286.

It is an arithmetic number, because the mean of its divisors is an integer number (2011992840).

Almost surely, 2140101204005 is an apocalyptic number.

140101204005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

140101204005 is an abundant number, since it is smaller than the sum of its proper divisors (149625764955).

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

140101204005 is a wasteful number, since it uses less digits than its factorization.

140101204005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 140101204005 its reverse (500402101041), we get a palindrome (640503305046).

The spelling of 140101204005 in words is "one hundred forty billion, one hundred one million, two hundred four thousand, five".

Divisors: 1 3 5 7 9 15 21 35 43 45 49 63 105 129 147 215 245 301 315 387 441 509 645 735 903 1505 1527 1935 2107 2205 2545 2709 2903 3563 4515 4581 6321 7635 8709 10535 10689 13545 14515 17815 18963 20321 21887 22905 24941 26127 31605 32067 43545 53445 60963 65661 74823 94815 101605 109435 124705 124829 130635 142247 153209 160335 182889 196983 224469 304815 328305 374115 374487 426741 459627 624145 711235 766045 873803 914445 984915 1072463 1122345 1123461 1280223 1378881 1477627 1872435 2133705 2298135 2621409 3217389 4369015 4432881 5362315 5617305 6116621 6401115 6894405 7388135 7864227 9652167 10343389 13107045 13298643 16086945 18349863 22164405 30583105 31030167 39321135 48260835 51716945 55049589 63537961 66493215 72403723 91749315 93090501 155150835 190613883 217211169 275247945 317689805 362018615 444765727 465452505 571841649 651633507 953069415 1086055845 1334297181 2223828635 2859208245 3113360089 3258167535 4002891543 6671485905 9340080267 15566800445 20014457715 28020240801 46700401335 140101204005