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140116323564 = 223272324174659
BaseRepresentation
bin1000001001111110010…
…1010110110011101100
3111101122221120201200100
42002133211112303230
54243424234323224
6144211335031100
713060133046030
oct2023745266354
9441587521610
10140116323564
1154472014818
12231a480b490
131029c9cc6c9
146ad2c6c1c0
1539a104cac9
hex209f956cec

140116323564 has 72 divisors (see below), whose sum is σ = 422379659520. Its totient is φ = 38292658272.

The previous prime is 140116323559. The next prime is 140116323569. The reversal of 140116323564 is 465323611041.

140116323564 is a `hidden beast` number, since 1 + 4 + 0 + 11 + 63 + 23 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (140116323559) and next prime (140116323569).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (140116323569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12081534 + ... + 12093125.

It is an arithmetic number, because the mean of its divisors is an integer number (5866384160).

Almost surely, 2140116323564 is an apocalyptic number.

140116323564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

140116323564 is an abundant number, since it is smaller than the sum of its proper divisors (282263335956).

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

140116323564 is a wasteful number, since it uses less digits than its factorization.

140116323564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24174699 (or 24174694 counting only the distinct ones).

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

The spelling of 140116323564 in words is "one hundred forty billion, one hundred sixteen million, three hundred twenty-three thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 24174659 48349318 72523977 96698636 145047954 169222613 217571931 290095908 338445226 435143862 507667839 556017157 676890452 870287724 1015335678 1112034314 1523003517 1668051471 2030671356 2224068628 3046007034 3336102942 3892120099 5004154413 6092014068 6672205884 7784240198 10008308826 11676360297 15568480396 20016617652 23352720594 35029080891 46705441188 70058161782 140116323564