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104045124400 = 24527307121039
BaseRepresentation
bin110000011100110010…
…0101001101100110000
3100221120002020221201221
41200321210221230300
53201041022440100
6115444144034424
710342222652050
oct1407144515460
9327502227657
10104045124400
114014183aa18
12181b8602a14
139a718a0289
14507039d560
152a8e42501a
hex1839929b30

104045124400 has 120 divisors (see below), whose sum is σ = 286611100160. Its totient is φ = 35556122880.

The previous prime is 104045124367. The next prime is 104045124427. The reversal of 104045124400 is 4421540401.

It is a super-2 number, since 2×1040451244002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 799081 + ... + 920119.

Almost surely, 2104045124400 is an apocalyptic number.

104045124400 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 104045124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143305550080).

104045124400 is an abundant number, since it is smaller than the sum of its proper divisors (182565975760).

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

104045124400 is a wasteful number, since it uses less digits than its factorization.

104045124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121371 (or 121360 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 104045124400 its reverse (4421540401), we get a palindrome (108466664801).

The spelling of 104045124400 in words is "one hundred four billion, forty-five million, one hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 307 350 400 560 614 700 1228 1400 1535 2149 2456 2800 3070 4298 4912 6140 7675 8596 10745 12280 15350 17192 21490 24560 30700 34384 42980 53725 61400 85960 107450 121039 122800 171920 214900 242078 429800 484156 605195 847273 859600 968312 1210390 1694546 1936624 2420780 3025975 3389092 4236365 4841560 6051950 6778184 8472730 9683120 12103900 13556368 16945460 21181825 24207800 33890920 37158973 42363650 48415600 67781840 74317946 84727300 148635892 169454600 185794865 260112811 297271784 338909200 371589730 520225622 594543568 743179460 928974325 1040451244 1300564055 1486358920 1857948650 2080902488 2601128110 2972717840 3715897300 4161804976 5202256220 6502820275 7431794600 10404512440 13005640550 14863589200 20809024880 26011281100 52022562200 104045124400