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12835155431240 = 2351493263365993
BaseRepresentation
bin1011101011000110101011…
…1000010100111101001000
31200110000210001100210021222
42322301222320110331020
53140242344242244430
643144220005221212
72463211055031122
oct272615270247510
950400701323258
1012835155431240
1140a93a46a13aa
121533657701808
13721471b40c7c
14325320d50212
15173d127469e5
hexbac6ae14f48

12835155431240 has 64 divisors (see below), whose sum is σ = 29074250646000. Its totient is φ = 5099371835392.

The previous prime is 12835155431183. The next prime is 12835155431249. The reversal of 12835155431240 is 4213455153821.

12835155431240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5656624829956 + 7178530601284 = 2378366^2 + 2679278^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12835155431191 and 12835155431200.

It is not an unprimeable number, because it can be changed into a prime (12835155431249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194459684 + ... + 194525676.

Almost surely, 212835155431240 is an apocalyptic number.

12835155431240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12835155431240 is an abundant number, since it is smaller than the sum of its proper divisors (16239095214760).

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

12835155431240 is a wasteful number, since it uses less digits than its factorization.

12835155431240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98786 (or 98782 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 44.

The spelling of 12835155431240 in words is "twelve trillion, eight hundred thirty-five billion, one hundred fifty-five million, four hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 149 298 596 745 1192 1490 2980 5960 32633 65266 65993 130532 131986 163165 261064 263972 326330 329965 527944 652660 659930 1305320 1319860 2639720 4862317 9724634 9832957 19449268 19665914 24311585 38898536 39331828 48623170 49164785 78663656 97246340 98329570 194492680 196659140 393318280 2153549569 4307099138 8614198276 10767747845 17228396552 21535495690 43070991380 86141982760 320878885781 641757771562 1283515543124 1604394428905 2567031086248 3208788857810 6417577715620 12835155431240