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104322243323144 = 237112231141166553
BaseRepresentation
bin10111101110000101101010…
…010000010110010100001000
3111200101002221111200011001002
4113232011222100112110020
5102133203423242320034
61005512551005314132
730655014304202450
oct2756055220262410
9450332844604032
10104322243323144
11302708a6753a30
12b84a424265948
134629712137842
141ba931b492d60
15c0d9daacce7e
hex5ee16a416508

104322243323144 has 128 divisors (see below), whose sum is σ = 244988915834880. Its totient is φ = 40458611289600.

The previous prime is 104322243323041. The next prime is 104322243323167. The reversal of 104322243323144 is 441323342223401.

It is a junction number, because it is equal to n+sod(n) for n = 104322243323098 and 104322243323107.

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, 1567472972 + ... + 1567539524.

It is an arithmetic number, because the mean of its divisors is an integer number (1913975904960).

Almost surely, 2104322243323144 is an apocalyptic number.

104322243323144 is a gapful number since it is divisible by the number (14) 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 104322243323144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122494457917440).

104322243323144 is an abundant number, since it is smaller than the sum of its proper divisors (140666672511736).

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

104322243323144 is a wasteful number, since it uses less digits than its factorization.

104322243323144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78211 (or 78207 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

Adding to 104322243323144 its reverse (441323342223401), we get a palindrome (545645585546545).

The spelling of 104322243323144 in words is "one hundred four trillion, three hundred twenty-two billion, two hundred forty-three million, three hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 223 308 446 616 892 1561 1784 2453 3122 4906 6244 9812 11411 12488 17171 19624 22822 34342 45644 66553 68684 79877 91288 125521 133106 137368 159754 251042 266212 319508 465871 502084 532424 639016 732083 878647 931742 1004168 1464166 1757294 1863484 2544653 2928332 3514588 3726968 5089306 5124581 5856664 7029176 10178612 10249162 14841319 17812571 20357224 20498324 27991183 29682638 35625142 40996648 55982366 59365276 71250284 103889233 111964732 118730552 142500568 163254509 195938281 207778466 223929464 326509018 391876562 415556932 653018036 759436283 783753124 831113864 1142781563 1306036072 1518872566 1567506248 2285563126 3037745132 4571126252 5316053981 6075490264 8353799113 9142252504 10632107962 16707598226 21264215924 33415196452 42528431848 58476593791 66830392904 116953187582 169354291109 233906375164 338708582218 467812750328 677417164436 1185480037763 1354834328872 1862897202199 2370960075526 3725794404398 4741920151052 7451588808796 9483840302104 13040280415393 14903177617592 26080560830786 52161121661572 104322243323144