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144032465101220 = 22537732666280361
BaseRepresentation
bin100000101111111100101011…
…111010110010000110100100
3200212222100222010202021001122
4200233330223322302012210
5122334311442031214340
61230155333452513112
742224000520066113
oct4057745372620644
9625870863667048
10144032465101220
11419909096a3983
12141a255917b798
13624a2845019a7
14277d2cc1ddc7a
15119b935705db5
hex82ff2beb21a4

144032465101220 has 48 divisors (see below), whose sum is σ = 314898375873648. Its totient is φ = 55287989544960.

The previous prime is 144032465101177. The next prime is 144032465101237. The reversal of 144032465101220 is 22101564230441.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 27292349227264 + 116740115873956 = 5224208^2 + 10804634^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1333086161 + ... + 1333194200.

It is an arithmetic number, because the mean of its divisors is an integer number (6560382830701).

Almost surely, 2144032465101220 is an apocalyptic number.

144032465101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144032465101220 is an abundant number, since it is smaller than the sum of its proper divisors (170865910772428).

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

144032465101220 is a wasteful number, since it uses less digits than its factorization.

144032465101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666280480 (or 2666280478 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 144032465101220 in words is "one hundred forty-four trillion, thirty-two billion, four hundred sixty-five million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 73 74 146 148 185 292 365 370 730 740 1460 2701 5402 10804 13505 27010 54020 2666280361 5332560722 10665121444 13331401805 26662803610 53325607220 98652373357 194638466353 197304746714 389276932706 394609493428 493261866785 778553865412 973192331765 986523733570 1946384663530 1973047467140 3892769327060 7201623255061 14403246510122 28806493020244 36008116275305 72016232550610 144032465101220