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60114292434 = 23277312975039
BaseRepresentation
bin110111111111000101…
…110100111011010010
312202011110122110111100
4313333011310323102
51441103224324214
643341025525230
74225455024540
oct677705647322
9182143573440
1060114292434
1123548a50719
12b7981a3816
135890336251
142ca3b24d90
15186c7cc309
hexdff174ed2

60114292434 has 96 divisors (see below), whose sum is σ = 151039848960. Its totient is φ = 16923810816.

The previous prime is 60114292409. The next prime is 60114292439. The reversal of 60114292434 is 43429241106.

60114292434 is a `hidden beast` number, since 601 + 1 + 4 + 2 + 9 + 2 + 43 + 4 = 666.

It is a super-2 number, since 2×601142924342 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (60114292439) by changing a digit.

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, 11927287 + ... + 11932325.

It is an arithmetic number, because the mean of its divisors is an integer number (1573331760).

Almost surely, 260114292434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60114292434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75519924480).

60114292434 is an abundant number, since it is smaller than the sum of its proper divisors (90925556526).

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

60114292434 is a wasteful number, since it uses less digits than its factorization.

60114292434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6424 (or 6421 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 60114292434 in words is "sixty billion, one hundred fourteen million, two hundred ninety-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 73 126 146 219 438 511 657 1022 1297 1314 1533 2594 3066 3891 4599 5039 7782 9079 9198 10078 11673 15117 18158 23346 27237 30234 35273 45351 54474 70546 81711 90702 94681 105819 163422 189362 211638 284043 317457 367847 568086 634914 662767 735694 852129 1103541 1325534 1704258 1988301 2207082 2574929 3310623 3976602 5149858 5964903 6535583 6621246 7724787 11929806 13071166 15449574 19606749 23174361 39213498 45749081 46348722 58820247 91498162 117640494 137247243 274494486 411741729 477097559 823483458 954195118 1431292677 2862585354 3339682913 4293878031 6679365826 8587756062 10019048739 20038097478 30057146217 60114292434