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40100616114 = 231329172310289
BaseRepresentation
bin100101010110001011…
…101101011110110010
310211111200101100212020
4211112023231132302
51124111224203424
630231051212310
72616505420146
oct452613553662
9124450340766
1040100616114
1116008830459
127931747096
133a20b80620
141d25abd226
15109a75e079
hex9562ed7b2

40100616114 has 64 divisors (see below), whose sum is σ = 89409398400. Its totient is φ = 11905108992.

The previous prime is 40100616053. The next prime is 40100616121. The reversal of 40100616114 is 41161600104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3892282 + ... + 3902570.

It is an arithmetic number, because the mean of its divisors is an integer number (1397021850).

Almost surely, 240100616114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40100616114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44704699200).

40100616114 is an abundant number, since it is smaller than the sum of its proper divisors (49308782286).

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

40100616114 is a wasteful number, since it uses less digits than its factorization.

40100616114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12059.

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 40100616114 in words is "forty billion, one hundred million, six hundred sixteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 377 754 1131 1723 2262 3446 5169 10289 10338 20578 22399 30867 44798 49967 61734 67197 99934 133757 134394 149901 267514 298381 299802 401271 596762 649571 802542 895143 1299142 1790286 1948713 3878953 3897426 7757906 11636859 17727947 23273718 35455894 53183841 106367682 230463311 460926622 514110463 691389933 1028220926 1382779866 1542331389 3084662778 6683436019 13366872038 20050308057 40100616114