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6140134188 = 22321723509857
BaseRepresentation
bin1011011011111101…
…10000001100101100
3120211220202010122100
411231332300030230
5100033333243223
62453140215100
7305105164566
oct55576601454
916756663570
106140134188
112670a44771
12123439a490
1376b1221c6
1442368a336
1525e0b9043
hex16dfb032c

6140134188 has 144 divisors (see below), whose sum is σ = 17202144960. Its totient is φ = 1836797952.

The previous prime is 6140134139. The next prime is 6140134229. The reversal of 6140134188 is 8814310416.

It is a happy number.

6140134188 is a `hidden beast` number, since 614 + 0 + 1 + 34 + 1 + 8 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7164256 + ... + 7165112.

It is an arithmetic number, because the mean of its divisors is an integer number (119459340).

Almost surely, 26140134188 is an apocalyptic number.

6140134188 is a gapful number since it is divisible by the number (68) 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 6140134188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8601072480).

6140134188 is an abundant number, since it is smaller than the sum of its proper divisors (11062010772).

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

6140134188 is a wasteful number, since it uses less digits than its factorization.

6140134188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 6140134188 is about 78359.0083398201. The cubic root of 6140134188 is about 1831.1585712013.

The spelling of 6140134188 in words is "six billion, one hundred forty million, one hundred thirty-four thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 276 306 391 414 509 612 782 828 857 1018 1173 1527 1564 1714 2036 2346 2571 3054 3428 3519 4581 4692 5142 6108 7038 7713 8653 9162 10284 11707 14076 14569 15426 17306 18324 19711 23414 25959 29138 30852 34612 35121 39422 43707 46828 51918 58276 59133 70242 77877 78844 87414 103836 105363 118266 131121 140484 155754 174828 177399 199019 210726 236532 262242 311508 335087 354798 398038 421452 436213 524484 597057 670174 709596 796076 872426 1005261 1194114 1308639 1340348 1744852 1791171 2010522 2388228 2617278 3015783 3582342 3925917 4021044 5234556 6031566 7164684 7415621 7851834 10032899 12063132 14831242 15703668 20065798 22246863 29662484 30098697 40131596 44493726 60197394 66740589 88987452 90296091 120394788 133481178 170559283 180592182 266962356 341118566 361184364 511677849 682237132 1023355698 1535033547 2046711396 3070067094 6140134188