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144132442400 = 2552712537543
BaseRepresentation
bin1000011000111011110…
…1101000100100100000
3111210000211121201000102
42012032331220210200
54330140401124100
6150114042241532
713261510355222
oct2061675504440
9453024551012
10144132442400
11561430082a1
1223b257b62a8
131078ca75a9b
146d943ba412
153b38908cd5
hex218ef68920

144132442400 has 72 divisors (see below), whose sum is σ = 356819287104. Its totient is φ = 56840940800.

The previous prime is 144132442357. The next prime is 144132442411. The reversal of 144132442400 is 4244231441.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1211972 + ... + 1325571.

It is an arithmetic number, because the mean of its divisors is an integer number (4955823432).

Almost surely, 2144132442400 is an apocalyptic number.

144132442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144132442400 is an abundant number, since it is smaller than the sum of its proper divisors (212686844704).

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

144132442400 is a wasteful number, since it uses less digits than its factorization.

144132442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537634 (or 2537621 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 144132442400 its reverse (4244231441), we get a palindrome (148376673841).

The spelling of 144132442400 in words is "one hundred forty-four billion, one hundred thirty-two million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 71 80 100 142 160 200 284 355 400 568 710 800 1136 1420 1775 2272 2840 3550 5680 7100 11360 14200 28400 56800 2537543 5075086 10150172 12687715 20300344 25375430 40600688 50750860 63438575 81201376 101501720 126877150 180165553 203003440 253754300 360331106 406006880 507508600 720662212 900827765 1015017200 1441324424 1801655530 2030034400 2882648848 3603311060 4504138825 5765297696 7206622120 9008277650 14413244240 18016555300 28826488480 36033110600 72066221200 144132442400