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144100100414040 = 23351709702653113
BaseRepresentation
bin100000110000111011101011…
…010011000001101001011000
3200220012211112202112010221120
4200300323223103001221120
5122341414001201222130
61230250401112205240
742231613551546051
oct4060735323015130
9626184482463846
10144100100414040
1141a07567002521
12141b3694099820
136253772a75954
1427826a6b49728
15119d593418910
hex830eeb4c1a58

144100100414040 has 64 divisors (see below), whose sum is σ = 432553256978400. Its totient is φ = 38404208489472.

The previous prime is 144100100414003. The next prime is 144100100414063. The reversal of 144100100414040 is 40414001001441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 144100100414040.

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, 351121477 + ... + 351531636.

Almost surely, 2144100100414040 is an apocalyptic number.

144100100414040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144100100414040 is an abundant number, since it is smaller than the sum of its proper divisors (288453156564360).

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

144100100414040 is a wasteful number, since it uses less digits than its factorization.

144100100414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702654836 (or 702654832 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 144100100414040 its reverse (40414001001441), we get a palindrome (184514101415481).

The spelling of 144100100414040 in words is "one hundred forty-four trillion, one hundred billion, one hundred million, four hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1709 3418 5127 6836 8545 10254 13672 17090 20508 25635 34180 41016 51270 68360 102540 205080 702653113 1405306226 2107959339 2810612452 3513265565 4215918678 5621224904 7026531130 8431837356 10539796695 14053062260 16863674712 21079593390 28106124520 42159186780 84318373560 1200834170117 2401668340234 3602502510351 4803336680468 6004170850585 7205005020702 9606673360936 12008341701170 14410010041404 18012512551755 24016683402340 28820020082808 36025025103510 48033366804680 72050050207020 144100100414040