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144131031101400 = 23352734316912167
BaseRepresentation
bin100000110001011000011110…
…111010001110111111011000
3200220022210101101001212100220
4200301120132322032333120
5122342420322430221100
61230312514232200040
742234060212214120
oct4061303672167730
9626283341055326
10144131031101400
1141a19699628762
12141b9686839020
136256661bba215
142783d9ca1bc80
15119e2a3ad1aa0
hex83161ee8efd8

144131031101400 has 96 divisors (see below), whose sum is σ = 510635653059840. Its totient is φ = 32944235679360.

The previous prime is 144131031101389. The next prime is 144131031101419. The reversal of 144131031101400 is 4101130131441.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17158451884 + ... + 17158460283.

It is an arithmetic number, because the mean of its divisors is an integer number (5319121386040).

Almost surely, 2144131031101400 is an apocalyptic number.

144131031101400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144131031101400 is an abundant number, since it is smaller than the sum of its proper divisors (366504621958440).

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

144131031101400 is a wasteful number, since it uses less digits than its factorization.

144131031101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34316912193 (or 34316912184 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 144131031101400 its reverse (4101130131441), we get a palindrome (148232161232841).

The spelling of 144131031101400 in words is "one hundred forty-four trillion, one hundred thirty-one billion, thirty-one million, one hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 34316912167 68633824334 102950736501 137267648668 171584560835 205901473002 240218385169 274535297336 343169121670 411802946004 480436770338 514753682505 686338243340 720655155507 823605892008 857922804175 960873540676 1029507365010 1201091925845 1372676486680 1441310311014 1715845608350 1921747081352 2059014730020 2402183851690 2573768412525 2882620622028 3431691216700 3603275777535 4118029460040 4804367703380 5147536825050 5765241244056 6005459629225 6863382433400 7206551555070 9608735406760 10295073650100 12010919258450 14413103110140 18016378887675 20590147300200 24021838516900 28826206220280 36032757775350 48043677033800 72065515550700 144131031101400