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1315154542140 = 2232531123493293
BaseRepresentation
bin10011001000110101010…
…100011011111000111100
311122201122101021221212200
4103020311110123320330
5133021414030322030
62444101302031500
7164005520106105
oct23106524337074
94581571257780
101315154542140
114678324a8a8a
12192a76718590
139703197293a
144792211b3ac
15243245b4d60
hex1323551be3c

1315154542140 has 72 divisors (see below), whose sum is σ = 4002129619488. Its totient is φ = 349580184960.

The previous prime is 1315154542129. The next prime is 1315154542189. The reversal of 1315154542140 is 412454515131.

1315154542140 is a `hidden beast` number, since 1 + 3 + 1 + 51 + 54 + 542 + 14 + 0 = 666.

It is a super-2 number, since 2×13151545421402 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1315154542095 and 1315154542104.

It is a congruent number.

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, 11690667 + ... + 11802626.

It is an arithmetic number, because the mean of its divisors is an integer number (55585133604).

Almost surely, 21315154542140 is an apocalyptic number.

1315154542140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1315154542140 is an abundant number, since it is smaller than the sum of its proper divisors (2686975077348).

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

1315154542140 is a wasteful number, since it uses less digits than its factorization.

1315154542140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23493619 (or 23493614 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 1315154542140 in words is "one trillion, three hundred fifteen billion, one hundred fifty-four million, five hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 311 622 933 1244 1555 1866 2799 3110 3732 4665 5598 6220 9330 11196 13995 18660 27990 55980 23493293 46986586 70479879 93973172 117466465 140959758 211439637 234932930 281919516 352399395 422879274 469865860 704798790 845758548 1057198185 1409597580 2114396370 4228792740 7306414123 14612828246 21919242369 29225656492 36532070615 43838484738 65757727107 73064141230 87676969476 109596211845 131515454214 146128282460 219192423690 263030908428 328788635535 438384847380 657577271070 1315154542140