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10104333414 = 237343227503
BaseRepresentation
bin10010110100100001…
…11110010001100110
3222002012002022122220
421122100332101212
5131143202132124
64350350533210
7505252263000
oct113220762146
928065068586
1010104333414
1143156a627a
121b5bb07206
13c504ba516
146bbd61370
153e211b879
hex25a43e466

10104333414 has 128 divisors (see below), whose sum is σ = 24269414400. Its totient is φ = 2801810592.

The previous prime is 10104333403. The next prime is 10104333433. The reversal of 10104333414 is 41433340101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20087887 + ... + 20088389.

It is an arithmetic number, because the mean of its divisors is an integer number (189604800).

Almost surely, 210104333414 is an apocalyptic number.

10104333414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10104333414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12134707200).

10104333414 is an abundant number, since it is smaller than the sum of its proper divisors (14165080986).

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

10104333414 is a wasteful number, since it uses less digits than its factorization.

10104333414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10104333414 its reverse (41433340101), we get a palindrome (51537673515).

The spelling of 10104333414 in words is "ten billion, one hundred four million, three hundred thirty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 43 49 86 98 129 147 227 258 294 301 343 454 503 602 681 686 903 1006 1029 1362 1509 1589 1806 2058 2107 3018 3178 3521 4214 4767 6321 7042 9534 9761 10563 11123 12642 14749 19522 21126 21629 22246 24647 29283 29498 33369 43258 44247 49294 58566 64887 66738 68327 73941 77861 88494 114181 129774 136654 147882 151403 155722 172529 204981 228362 233583 302806 342543 345058 409962 454209 467166 478289 517587 685086 799267 908418 956578 1035174 1059821 1434867 1598534 2119642 2397801 2869734 3179463 3348023 4795602 4909783 5594869 6358926 6696046 7418747 9819566 10044069 11189738 14729349 14837494 16784607 20088138 22256241 29458698 33569214 34368481 39164083 44512482 68736962 78328166 103105443 117492249 206210886 234984498 240579367 481158734 721738101 1443476202 1684055569 3368111138 5052166707 10104333414