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102330413440 = 2751131738179
BaseRepresentation
bin101111101001101011…
…1100011000110000000
3100210010120201121111121
41133103113203012000
53134033041212230
6115002051522024
710251562106533
oct1372327430600
9323116647447
10102330413440
113a44193a222
12179ba2b9314
13985a572ac8
144d4a768a1a
1529ddb1777a
hex17d35e3180

102330413440 has 128 divisors (see below), whose sum is σ = 248255474400. Its totient is φ = 40330493952.

The previous prime is 102330413429. The next prime is 102330413473. The reversal of 102330413440 is 44314033201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12507271 + ... + 12515449.

Almost surely, 2102330413440 is an apocalyptic number.

102330413440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102330413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124127737200).

102330413440 is an abundant number, since it is smaller than the sum of its proper divisors (145925060960).

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

102330413440 is a wasteful number, since it uses less digits than its factorization.

102330413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8484 (or 8472 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 102330413440 its reverse (44314033201), we get a palindrome (146644446641).

The spelling of 102330413440 in words is "one hundred two billion, three hundred thirty million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 173 226 320 346 452 565 640 692 865 904 1130 1384 1730 1808 2260 2768 3460 3616 4520 5536 6920 7232 8179 9040 11072 13840 14464 16358 18080 19549 22144 27680 32716 36160 39098 40895 55360 65432 72320 78196 81790 97745 110720 130864 156392 163580 195490 261728 312784 327160 390980 523456 625568 654320 781960 924227 1046912 1251136 1308640 1414967 1563920 1848454 2502272 2617280 2829934 3127840 3696908 4621135 5234560 5659868 6255680 7074835 7393816 9242270 11319736 12511360 14149670 14787632 18484540 22639472 28299340 29575264 36969080 45278944 56598680 59150528 73938160 90557888 113197360 118301056 147876320 159891271 181115776 226394720 295752640 319782542 452789440 591505280 639565084 799456355 905578880 1279130168 1598912710 2558260336 3197825420 5116520672 6395650840 10233041344 12791301680 20466082688 25582603360 51165206720 102330413440