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144035132501104 = 24136185871119449
BaseRepresentation
bin100000101111111111001010…
…111010000110110001110000
3200212222121212000221012210221
4200233333022322012301300
5122334332422410013404
61230200454300302424
742224123566444135
oct4057771272066160
9625877760835727
10144035132501104
1141991a58343999
12141a2b82541a14
13624a5bb012b10
14277d4a258858c
15119ba3e99b954
hex82ffcae86c70

144035132501104 has 40 divisors (see below), whose sum is σ = 300535598084400. Its totient is φ = 66477586610688.

The previous prime is 144035132501087. The next prime is 144035132501147. The reversal of 144035132501104 is 401105231530441.

It is a super-2 number, since 2×1440351325011042 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144035132501104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128106372 + ... + 129225820.

It is an arithmetic number, because the mean of its divisors is an integer number (7513389952110).

Almost surely, 2144035132501104 is an apocalyptic number.

It is an amenable number.

144035132501104 is an abundant number, since it is smaller than the sum of its proper divisors (156500465583296).

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

144035132501104 is a wasteful number, since it uses less digits than its factorization.

144035132501104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738057 (or 1738051 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 144035132501104 in words is "one hundred forty-four trillion, thirty-five billion, one hundred thirty-two million, five hundred one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 208 618587 1119449 1237174 2238898 2474348 4477796 4948696 8041631 8955592 9897392 14552837 16083262 17911184 29105674 32166524 58211348 64333048 116422696 128666096 232845392 692476598563 1384953197126 2769906394252 5539812788504 9002195781319 11079625577008 18004391562638 36008783125276 72017566250552 144035132501104