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2140143714 = 2333137109317
BaseRepresentation
bin111111110010000…
…0000000001100010
312112011001120021000
41333210000001202
513340334044324
6552210412430
7104014631022
oct17744000142
95464046230
102140143714
119a9067715
124b8891116
13281504c37
14164339a82
15c7d469c9
hex7f900062

2140143714 has 128 divisors (see below), whose sum is σ = 5104281600. Its totient is φ = 663448320.

The previous prime is 2140143713. The next prime is 2140143727. The reversal of 2140143714 is 4173410412.

2140143714 is a `hidden beast` number, since 214 + 0 + 1 + 437 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2140143713) 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, 6751084 + ... + 6751400.

It is an arithmetic number, because the mean of its divisors is an integer number (39877200).

Almost surely, 22140143714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140143714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552140800).

2140143714 is an abundant number, since it is smaller than the sum of its proper divisors (2964137886).

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

2140143714 is a wasteful number, since it uses less digits than its factorization.

2140143714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2140143714 is about 46261.6873233132. The cubic root of 2140143714 is about 1288.6875889840.

The spelling of 2140143714 in words is "two billion, one hundred forty million, one hundred forty-three thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 18 27 31 37 54 62 74 93 109 111 186 218 222 279 317 327 333 558 634 654 666 837 951 981 999 1147 1674 1902 1962 1998 2294 2853 2943 3379 3441 4033 5706 5886 6758 6882 8066 8559 9827 10137 10323 11729 12099 17118 19654 20274 20646 23458 24198 29481 30411 30969 34553 35187 36297 58962 60822 61938 69106 70374 72594 88443 91233 103659 105561 108891 125023 176886 182466 207318 211122 217782 250046 265329 310977 316683 363599 375069 530658 621954 633366 727198 750138 932931 1071143 1090797 1125207 1278461 1865862 2142286 2181594 2250414 2556922 3213429 3272391 3375621 3835383 6426858 6544782 6751242 7670766 9640287 9817173 11506149 19280574 19634346 23012298 28920861 34518447 39632291 57841722 69036894 79264582 118896873 237793746 356690619 713381238 1070071857 2140143714