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120935114440 = 23572292127641
BaseRepresentation
bin111000010100001001…
…0110110011011001000
3102120011011202100100121
41300220102312123020
53440133342130230
6131320135113024
711510612340400
oct1605022663310
9376134670317
10120935114440
11473197a0478
121b530b12774
13b533b5691a
145bd3603800
15322c11b77a
hex1c284b66c8

120935114440 has 96 divisors (see below), whose sum is σ = 327444103800. Its totient is φ = 40033674240.

The previous prime is 120935114381. The next prime is 120935114449. The reversal of 120935114440 is 44411539021.

It can be written as a sum of positive squares in 4 ways, for example, as 74506069764 + 46429044676 = 272958^2 + 215474^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120935114396 and 120935114405.

It is not an unprimeable number, because it can be changed into a prime (120935114449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1006981 + ... + 1120660.

Almost surely, 2120935114440 is an apocalyptic number.

120935114440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120935114440 is an abundant number, since it is smaller than the sum of its proper divisors (206508989360).

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

120935114440 is a wasteful number, since it uses less digits than its factorization.

120935114440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127695 (or 2127684 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 120935114440 in words is "one hundred twenty billion, nine hundred thirty-five million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 49 56 58 70 98 116 140 145 196 203 232 245 280 290 392 406 490 580 812 980 1015 1160 1421 1624 1960 2030 2842 4060 5684 7105 8120 11368 14210 28420 56840 2127641 4255282 8510564 10638205 14893487 17021128 21276410 29786974 42552820 59573948 61701589 74467435 85105640 104254409 119147896 123403178 148934870 208508818 246806356 297869740 308507945 417017636 431911123 493612712 521272045 595739480 617015890 834035272 863822246 1042544090 1234031780 1727644492 2085088180 2159555615 2468063560 3023377861 3455288984 4170176360 4319111230 6046755722 8638222460 12093511444 15116889305 17276444920 24187022888 30233778610 60467557220 120935114440