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144100110401320 = 23510981174071761
BaseRepresentation
bin100000110000111011101011…
…111001000111111100101000
3200220012211120110022112220211
4200300323223321013330220
5122341414011230320240
61230250402110230504
742231614032463353
oct4060735371077450
9626184513275824
10144100110401320
1141a07571704077
12141b36974b5434
136253774b61798
1427826a81c929a
15119d59423cbea
hex830eebe47f28

144100110401320 has 64 divisors (see below), whose sum is σ = 327240182768400. Its totient is φ = 57104186388480.

The previous prime is 144100110401209. The next prime is 144100110401329. The reversal of 144100110401320 is 23104011001441.

It can be written as a sum of positive squares in 8 ways, for example, as 90933350666404 + 53166759734916 = 9535898^2 + 7291554^2 .

It is a super-2 number, since 2×1441001104013202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144100110401291 and 144100110401300.

It is not an unprimeable number, because it can be changed into a prime (144100110401329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33354240 + ... + 37426000.

Almost surely, 2144100110401320 is an apocalyptic number.

144100110401320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144100110401320 is an abundant number, since it is smaller than the sum of its proper divisors (183140072367080).

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

144100110401320 is a wasteful number, since it uses less digits than its factorization.

144100110401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079998 (or 4079994 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 144100110401320 its reverse (23104011001441), we get a palindrome (167204121402761).

The spelling of 144100110401320 in words is "one hundred forty-four trillion, one hundred billion, one hundred ten million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 872 1090 2180 4360 8117 16234 32468 40585 64936 81170 162340 324680 884753 1769506 3539012 4071761 4423765 7078024 8143522 8847530 16287044 17695060 20358805 32574088 35390120 40717610 81435220 162870440 443821949 887643898 1775287796 2219109745 3550575592 4438219490 8876438980 17752877960 33050484037 66100968074 132201936148 165252420185 264403872296 330504840370 661009680740 1322019361480 3602502760033 7205005520066 14410011040132 18012513800165 28820022080264 36025027600330 72050055200660 144100110401320