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140111136 = 25321147941
BaseRepresentation
bin10000101100111…
…10110100100000
3100202122101100100
420112132310200
5241332024021
621523022400
73320632164
oct1026366440
9322571310
10140111136
11720a8630
123ab0aa00
1323048ac9
1414872ca4
15c479626
hex859ed20

140111136 has 144 divisors (see below), whose sum is σ = 444382848. Its totient is φ = 41510400.

The previous prime is 140111117. The next prime is 140111141. The reversal of 140111136 is 631111041.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1401111362 = 39262260862420992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148426 + ... + 149366.

It is an arithmetic number, because the mean of its divisors is an integer number (3085992).

Almost surely, 2140111136 is an apocalyptic number.

140111136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140111136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222191424).

140111136 is an abundant number, since it is smaller than the sum of its proper divisors (304271712).

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

140111136 is a wasteful number, since it uses less digits than its factorization.

140111136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 140111136 is about 11836.8549877068. The cubic root of 140111136 is about 519.3867721834.

Adding to 140111136 its reverse (631111041), we get a palindrome (771222177).

The spelling of 140111136 in words is "one hundred forty million, one hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 47 48 66 72 88 94 96 99 132 141 144 176 188 198 264 282 288 352 376 396 423 517 528 564 752 792 846 941 1034 1056 1128 1504 1551 1584 1692 1882 2068 2256 2823 3102 3168 3384 3764 4136 4512 4653 5646 6204 6768 7528 8272 8469 9306 10351 11292 12408 13536 15056 16544 16938 18612 20702 22584 24816 30112 31053 33876 37224 41404 44227 45168 49632 62106 67752 74448 82808 88454 90336 93159 124212 132681 135504 148896 165616 176908 186318 248424 265362 271008 331232 353816 372636 398043 486497 496848 530724 707632 745272 796086 972994 993696 1061448 1415264 1459491 1490544 1592172 1945988 2122896 2918982 2981088 3184344 3891976 4245792 4378473 5837964 6368688 7783952 8756946 11675928 12737376 15567904 17513892 23351856 35027784 46703712 70055568 140111136