Search a number
-
+
114897600012672 = 273354161452557
BaseRepresentation
bin11010000111111110101110…
…101000100110000110000000
3120001211002210022000120121000
4122013332232220212012000
5110024440241100401142
61044211121225132000
733126035431661631
oct3207765650460600
9501732708016530
10114897600012672
1133678886918654
1210a77b1192a000
134c15a49573039
142053105a0b888
15d43b3c17714c
hex687faea26180

114897600012672 has 128 divisors (see below), whose sum is σ = 339734321647200. Its totient is φ = 38228406036480.

The previous prime is 114897600012631. The next prime is 114897600012733. The reversal of 114897600012672 is 276210006798411.

114897600012672 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 9 + 7 + 600 + 0 + 1 + 26 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28856583 + ... + 32595974.

Almost surely, 2114897600012672 is an apocalyptic number.

114897600012672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114897600012672 is an abundant number, since it is smaller than the sum of its proper divisors (224836721634528).

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

114897600012672 is an equidigital number, since it uses as much as digits as its factorization.

114897600012672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61453121 (or 61453103 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 114897600012672 in words is "one hundred fourteen trillion, eight hundred ninety-seven billion, six hundred million, twelve thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 541 576 864 1082 1152 1623 1728 2164 3246 3456 4328 4869 6492 8656 9738 12984 14607 17312 19476 25968 29214 34624 38952 51936 58428 69248 77904 103872 116856 155808 207744 233712 311616 467424 623232 934848 1869696 61452557 122905114 184357671 245810228 368715342 491620456 553073013 737430684 983240912 1106146026 1474861368 1659219039 1966481824 2212292052 2949722736 3318438078 3932963648 4424584104 5899445472 6636876156 7865927296 8849168208 11798890944 13273752312 17698336416 23597781888 26547504624 33245833337 35396672832 53095009248 66491666674 70793345664 99737500011 106190018496 132983333348 199475000022 212380036992 265966666696 299212500033 398950000044 531933333392 598425000066 797900000088 897637500099 1063866666784 1196850000132 1595800000176 1795275000198 2127733333568 2393700000264 3191600000352 3590550000396 4255466667136 4787400000528 6383200000704 7181100000792 9574800001056 12766400001408 14362200001584 19149600002112 28724400003168 38299200004224 57448800006336 114897600012672