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120145505440 = 2552474930341
BaseRepresentation
bin110111111100100111…
…0101110110010100000
3102111010010222001102211
41233321032232302200
53432024222133230
6131105531051504
711452213642342
oct1577116566240
9374103861384
10120145505440
1146a54007554
121b3505a0b94
13b4393a156c
145b5a7c1292
1531d2b4842a
hex1bf93aeca0

120145505440 has 48 divisors (see below), whose sum is σ = 283864581000. Its totient is φ = 48054676480.

The previous prime is 120145505371. The next prime is 120145505443. The reversal of 120145505440 is 44505541021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 108348938896 + 11796566544 = 329164^2 + 108612^2 .

It is not an unprimeable number, because it can be changed into a prime (120145505443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3944670 + ... + 3975010.

Almost surely, 2120145505440 is an apocalyptic number.

120145505440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120145505440 is an abundant number, since it is smaller than the sum of its proper divisors (163719075560).

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

120145505440 is a wasteful number, since it uses less digits than its factorization.

120145505440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55105 (or 55097 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The spelling of 120145505440 in words is "one hundred twenty billion, one hundred forty-five million, five hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 24749 30341 49498 60682 98996 121364 123745 151705 197992 242728 247490 303410 395984 485456 494980 606820 791968 970912 989960 1213640 1979920 2427280 3959840 4854560 750909409 1501818818 3003637636 3754547045 6007275272 7509094090 12014550544 15018188180 24029101088 30036376360 60072752720 120145505440