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1356012133920 = 253251949561847
BaseRepresentation
bin10011101110111000100…
…111110001111000100000
311210122002211001200010200
4103232320213301320200
5134204103101241140
62514535434025200
7166653146650353
oct23567047617040
94718084050120
101356012133920
11483099553464
1219a979878200
139ab435c0b52
14498ba56629a
15254164ed030
hex13bb89f1e20

1356012133920 has 144 divisors (see below), whose sum is σ = 4870938421440. Its totient is φ = 342571479552.

The previous prime is 1356012133843. The next prime is 1356012133933. The reversal of 1356012133920 is 293312106531.

1356012133920 is a `hidden beast` number, since 1 + 3 + 5 + 601 + 2 + 13 + 39 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24753564 + ... + 24808283.

It is an arithmetic number, because the mean of its divisors is an integer number (33825961260).

Almost surely, 21356012133920 is an apocalyptic number.

1356012133920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1356012133920 is an abundant number, since it is smaller than the sum of its proper divisors (3514926287520).

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

1356012133920 is a wasteful number, since it uses less digits than its factorization.

1356012133920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49561887 (or 49561876 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 1356012133920 in words is "one trillion, three hundred fifty-six billion, twelve million, one hundred thirty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 27360 49561847 99123694 148685541 198247388 247809235 297371082 396494776 446056623 495618470 594742164 743427705 792989552 892113246 941675093 991236940 1189484328 1486855410 1585979104 1784226492 1883350186 1982473880 2230283115 2378968656 2825025279 2973710820 3568452984 3766700372 3964947760 4460566230 4708375465 4757937312 5650050558 5947421640 7136905968 7533400744 7929895520 8475075837 8921132460 9416750930 11300101116 11894843280 14125126395 14273811936 15066801488 16950151674 17842264920 18833501860 22600202232 23789686560 28250252790 30133602976 33900303348 35684529840 37667003720 42375379185 45200404464 56500505580 67800606696 71369059680 75334007440 84750758370 90400808928 113001011160 135601213392 150668014880 169501516740 226002022320 271202426784 339003033480 452004044640 678006066960 1356012133920