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144405556944 = 243112513672969
BaseRepresentation
bin1000011001111100111…
…1011110111011010000
3111210201212112100201220
42012133033132323100
54331220310310234
6150201120125040
713301334660435
oct2063717367320
9453655470656
10144405556944
11562731992a0
1223ba1166780
131080451c41c
146dbc791b8c
153b528a6a49
hex219f3deed0

144405556944 has 160 divisors (see below), whose sum is σ = 409833768960. Its totient is φ = 43451520000.

The previous prime is 144405556943. The next prime is 144405557053. The reversal of 144405556944 is 449655504441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144405556943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48636292 + ... + 48639260.

It is an arithmetic number, because the mean of its divisors is an integer number (2561461056).

Almost surely, 2144405556944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144405556944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204916884480).

144405556944 is an abundant number, since it is smaller than the sum of its proper divisors (265428212016).

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

144405556944 is a wasteful number, since it uses less digits than its factorization.

144405556944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 51.

The spelling of 144405556944 in words is "one hundred forty-four billion, four hundred five million, five hundred fifty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 251 264 367 502 528 734 753 1004 1101 1468 1506 2008 2202 2761 2936 2969 3012 4016 4037 4404 5522 5872 5938 6024 8074 8283 8808 8907 11044 11876 12048 12111 16148 16566 17616 17814 22088 23752 24222 32296 32659 33132 35628 44176 47504 48444 64592 65318 66264 71256 92117 96888 97977 130636 132528 142512 184234 193776 195954 261272 276351 368468 391908 522544 552702 736936 745219 783816 1013287 1089623 1105404 1473872 1490438 1567632 2026574 2179246 2210808 2235657 2980876 3039861 3268869 4053148 4358492 4421616 4471314 5961752 6079722 6537738 8106296 8197409 8716984 8942628 11923504 11985853 12159444 13075476 16212592 16394818 17433968 17885256 23971706 24318888 24592227 26150952 32789636 35770512 35957559 47943412 48637776 49184454 52301904 65579272 71915118 95886824 98368908 131158544 143830236 191773648 196737816 273495373 287660472 393475632 546990746 575320944 820486119 1093981492 1640972238 2187962984 3008449103 3281944476 4375925968 6016898206 6563888952 9025347309 12033796412 13127777904 18050694618 24067592824 36101389236 48135185648 72202778472 144405556944