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4014142311018 = 23723139223134059
BaseRepresentation
bin111010011010011101100…
…001101100101001101010
3112012202012110221112112010
4322122131201230221222
51011231430412423033
612312023240500350
7563004121445430
oct72323541545152
915182173845463
104014142311018
11130842a760214
12549b7417a6b6
132316bba437c8
14dc3dd69cd50
156e63c84e863
hex3a69d86ca6a

4014142311018 has 128 divisors (see below), whose sum is σ = 9686296166400. Its totient is φ = 1084248234432.

The previous prime is 4014142311017. The next prime is 4014142311019. The reversal of 4014142311018 is 8101132414104.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4014142311017) and next prime (4014142311019).

It is a super-2 number, since 2×40141423110182 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4014142311017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29876073 + ... + 30010131.

It is an arithmetic number, because the mean of its divisors is an integer number (75674188800).

Almost surely, 24014142311018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4014142311018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843148083200).

4014142311018 is an abundant number, since it is smaller than the sum of its proper divisors (5672153855382).

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

4014142311018 is a wasteful number, since it uses less digits than its factorization.

4014142311018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134456.

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 4014142311018 in words is "four trillion, fourteen billion, one hundred forty-two million, three hundred eleven thousand, eighteen".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 139 161 223 278 322 417 446 483 669 834 966 973 1338 1561 1946 2919 3122 3197 4683 5129 5838 6394 9366 9591 10258 15387 19182 22379 30774 30997 35903 44758 61994 67137 71806 92991 107709 134059 134274 185982 215418 216979 268118 402177 433958 650937 712931 804354 938413 1301874 1425862 1876826 2138793 2815239 3083357 4277586 4990517 5630478 6166714 9250071 9981034 14971551 18500142 18634201 21583499 29895157 29943102 37268402 43166998 55902603 59790314 64750497 89685471 111805206 129500994 130439407 179370942 209266099 260878814 391318221 418532198 428586623 627798297 687588611 782636442 857173246 1255596594 1285759869 1375177222 2062765833 2571519738 3000106361 4125531666 4155426823 4813120277 6000212722 8310853646 9000319083 9626240554 12466280469 14439360831 18000638166 24932560938 28878721662 29087987761 58175975522 87263963283 95574816929 174527926566 191149633858 286724450787 573448901574 669023718503 1338047437006 2007071155509 4014142311018