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136260531414 = 23276017572377
BaseRepresentation
bin111111011100111000…
…0101011010011010110
3111000201020020012012200
41332321300223103112
54213030144001124
6142333000025330
712562443256350
oct1767160532326
9430636205180
10136260531414
1152873577037
12224a9462246
13cb06c2c6a7
146848b360d0
1538277b0bc9
hex1fb9c2b4d6

136260531414 has 96 divisors (see below), whose sum is σ = 338557267776. Its totient is φ = 38799129600.

The previous prime is 136260531391. The next prime is 136260531437. The reversal of 136260531414 is 414135062631.

136260531414 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 605 + 3 + 1 + 41 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (136260531391) and next prime (136260531437).

It is a super-4 number, since 4×1362605314144 (a number of 46 digits) contains 4444 as substring.

136260531414 is a modest number, since divided by 531414 gives 136260 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57323394 + ... + 57325770.

It is an arithmetic number, because the mean of its divisors is an integer number (3526638206).

Almost surely, 2136260531414 is an apocalyptic number.

136260531414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

136260531414 is an abundant number, since it is smaller than the sum of its proper divisors (202296736362).

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

136260531414 is a wasteful number, since it uses less digits than its factorization.

136260531414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 136260531414 in words is "one hundred thirty-six billion, two hundred sixty million, five hundred thirty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 601 757 1202 1514 1803 2271 2377 3606 4207 4542 4754 5299 5409 6813 7131 8414 10598 10818 12621 13626 14262 15897 16639 21393 25242 31794 33278 37863 42786 47691 49917 75726 95382 99834 149751 299502 454957 909914 1364871 1428577 1799389 2729742 2857154 3184699 3598778 4094613 4285731 5398167 6369398 8189226 8571462 9554097 10000039 10796334 12595723 12857193 16194501 19108194 20000078 25191446 25714386 28662291 30000117 32389002 37787169 57324582 60000234 75574338 90000351 113361507 180000702 226723014 1081432789 2162865578 3244298367 6488596734 7570029523 9732895101 15140059046 19465790202 22710088569 45420177138 68130265707 136260531414