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4145410360104 = 23313231993289853
BaseRepresentation
bin111100010100101101101…
…101100100001100101000
3112200022000202221100110220
4330110231231210030220
51020404300023010404
612452213014410040
7605332063451046
oct74245555441450
915608022840426
104145410360104
1113590710943a2
1256b4a9660920
13240bab547330
141048d332d396
1572c71b914d9
hex3c52db64328

4145410360104 has 128 divisors (see below), whose sum is σ = 11651852540160. Its totient is φ = 1219437508608.

The previous prime is 4145410360067. The next prime is 4145410360153. The reversal of 4145410360104 is 4010630145414.

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, 14156842 + ... + 14446694.

It is an arithmetic number, because the mean of its divisors is an integer number (91030097970).

Almost surely, 24145410360104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4145410360104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5825926270080).

4145410360104 is an abundant number, since it is smaller than the sum of its proper divisors (7506442180056).

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

4145410360104 is a wasteful number, since it uses less digits than its factorization.

4145410360104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291891 (or 291887 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 4145410360104 in words is "four trillion, one hundred forty-five billion, four hundred ten million, three hundred sixty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 897 1196 1794 1993 2392 3588 3986 5979 7176 7972 11958 15944 23916 25909 45839 47832 51818 77727 91678 103636 137517 155454 183356 207272 275034 289853 310908 366712 550068 579706 595907 621816 869559 1100136 1159412 1191814 1739118 1787721 2318824 2383628 3478236 3575442 3768089 4767256 6666619 6956472 7150884 7536178 11304267 13333238 14301768 15072356 19999857 22608534 26666476 30144712 39999714 45217068 53332952 79999428 86666047 90434136 159998856 173332094 259998141 346664188 519996282 577677029 693328376 1039992564 1155354058 1733031087 2079985128 2310708116 3466062174 4621416232 6932124348 7509801377 13286571667 13864248696 15019602754 22529404131 26573143334 30039205508 39859715001 45058808262 53146286668 60078411016 79719430002 90117616524 106292573336 159438860004 172725431671 180235233048 318877720008 345450863342 518176295013 690901726684 1036352590026 1381803453368 2072705180052 4145410360104