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1335506440212 = 2232718329289139
BaseRepresentation
bin10011011011110010011…
…000110001000000010100
311201200011201222111112100
4103123302120301000110
5133340104122041322
62501305001522100
7165326044303650
oct23336230610024
94650151874470
101335506440212
1147542662925a
121969b64a3330
1398c26219689
14488d3045a60
1524b16191dac
hex136f2631014

1335506440212 has 72 divisors (see below), whose sum is σ = 3858353553600. Its totient is φ = 381551131008.

The previous prime is 1335506440193. The next prime is 1335506440249. The reversal of 1335506440212 is 2120446055331.

1335506440212 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 5 + 0 + 644 + 0 + 2 + 1 + 2 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 4474339 + ... + 4763477.

It is an arithmetic number, because the mean of its divisors is an integer number (53588243800).

Almost surely, 21335506440212 is an apocalyptic number.

1335506440212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1335506440212 is an abundant number, since it is smaller than the sum of its proper divisors (2522847113388).

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

1335506440212 is a wasteful number, since it uses less digits than its factorization.

1335506440212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307485 (or 307480 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 1335506440212 in words is "one trillion, three hundred thirty-five billion, five hundred six million, four hundred forty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 18329 36658 54987 73316 109974 128303 164961 219948 256606 289139 329922 384909 513212 578278 659844 769818 867417 1154727 1156556 1539636 1734834 2023973 2309454 2602251 3469668 4047946 4618908 5204502 6071919 8095892 10409004 12143838 18215757 24287676 36431514 72863028 5299628731 10599257462 15898886193 21198514924 31797772386 37097401117 47696658579 63595544772 74194802234 95393317158 111292203351 148389604468 190786634316 222584406702 333876610053 445168813404 667753220106 1335506440212