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340145125110 = 23257717604407
BaseRepresentation
bin1001111001100100011…
…10101011011011110110
31012111222022001200110200
410330302032223123312
521033104123000420
6420132134301330
733401053600410
oct4746216533366
91174868050420
10340145125110
11121289067a4a
1255b09ab7846
13260c9c941cb
141266aac99b0
158cabcb0b90
hex4f323ab6f6

340145125110 has 96 divisors (see below), whose sum is σ = 1024952527872. Its totient is φ = 76652412480.

The previous prime is 340145125091. The next prime is 340145125153. The reversal of 340145125110 is 11521541043.

340145125110 is a `hidden beast` number, since 3 + 4 + 0 + 145 + 1 + 2 + 511 + 0 = 666.

It is a super-2 number, since 2×3401451251102 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3757474 + ... + 3846933.

It is an arithmetic number, because the mean of its divisors is an integer number (10676588832).

Almost surely, 2340145125110 is an apocalyptic number.

340145125110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

340145125110 is an abundant number, since it is smaller than the sum of its proper divisors (684807402762).

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

340145125110 is a wasteful number, since it uses less digits than its factorization.

340145125110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7604498 (or 7604495 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 340145125110 its reverse (11521541043), we get a palindrome (351666666153).

The spelling of 340145125110 in words is "three hundred forty billion, one hundred forty-five million, one hundred twenty-five thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 71 90 105 126 142 210 213 315 355 426 497 630 639 710 994 1065 1278 1491 2130 2485 2982 3195 4473 4970 6390 7455 8946 14910 22365 44730 7604407 15208814 22813221 38022035 45626442 53230849 68439663 76044070 106461698 114066105 136879326 159692547 228132210 266154245 319385094 342198315 479077641 532308490 539912897 684396630 798462735 958155282 1079825794 1596925470 1619738691 2395388205 2699564485 3239477382 3779390279 4790776410 4859216073 5399128970 7558780558 8098693455 9718432146 11338170837 16197386910 18896951395 22676341674 24296080365 34014512511 37793902790 48592160730 56690854185 68029025022 113381708370 170072562555 340145125110