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40225053120 = 263575985871
BaseRepresentation
bin100101011101100110…
…011001100111000000
310211211100112102100020
4211131212121213000
51124340103144440
630251254253440
72622546211230
oct453546314700
9124740472306
1040225053120
1116071aa285a
127967357280
133a4089bca5
141d38431cc0
1510a663e3d0
hex95d9999c0

40225053120 has 112 divisors (see below), whose sum is σ = 145959502848. Its totient is φ = 9194296320.

The previous prime is 40225053101. The next prime is 40225053131. The reversal of 40225053120 is 2135052204.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2986216 + ... + 2999655.

Almost surely, 240225053120 is an apocalyptic number.

40225053120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40225053120 is an abundant number, since it is smaller than the sum of its proper divisors (105734449728).

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

40225053120 is a wasteful number, since it uses less digits than its factorization.

40225053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5985898 (or 5985888 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 40225053120 in words is "forty billion, two hundred twenty-five million, fifty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 5985871 11971742 17957613 23943484 29929355 35915226 41901097 47886968 59858710 71830452 83802194 89788065 95773936 119717420 125703291 143660904 167604388 179576130 191547872 209505485 239434840 251406582 287321808 335208776 359152260 383095744 419010970 478869680 502813164 574643616 628516455 670417552 718304520 838021940 957739360 1005626328 1149287232 1257032910 1340835104 1436609040 1676043880 1915478720 2011252656 2514065820 2681670208 2873218080 3352087760 4022505312 5028131640 5746436160 6704175520 8045010624 10056263280 13408351040 20112526560 40225053120