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104244140400 = 24352372347841
BaseRepresentation
bin110000100010101101…
…1110101100101110000
3100222001221202000100220
41201011123311211300
53201442444443100
6115520013413040
710350160400451
oct1410533654560
9328057660326
10104244140400
1140234110654
121825319a180
139aa3ba171a
14508c9a7128
152aa1b37aa0
hex18456f5970

104244140400 has 120 divisors (see below), whose sum is σ = 342953976624. Its totient is φ = 27047116800.

The previous prime is 104244140393. The next prime is 104244140401. The reversal of 104244140400 is 4041442401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104244140401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1129521 + ... + 1218320.

Almost surely, 2104244140400 is an apocalyptic number.

104244140400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104244140400 is an abundant number, since it is smaller than the sum of its proper divisors (238709836224).

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

104244140400 is a wasteful number, since it uses less digits than its factorization.

104244140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347899 (or 2347888 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 104244140400 its reverse (4041442401), we get a palindrome (108285582801).

The spelling of 104244140400 in words is "one hundred four billion, two hundred forty-four million, one hundred forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 148 150 185 200 222 240 296 300 370 400 444 555 592 600 740 888 925 1110 1200 1480 1776 1850 2220 2775 2960 3700 4440 5550 7400 8880 11100 14800 22200 44400 2347841 4695682 7043523 9391364 11739205 14087046 18782728 23478410 28174092 35217615 37565456 46956820 56348184 58696025 70435230 86870117 93913640 112696368 117392050 140870460 173740234 176088075 187827280 234784100 260610351 281740920 347480468 352176150 434350585 469568200 521220702 563481840 694960936 704352300 868701170 939136400 1042441404 1303051755 1389921872 1408704600 1737402340 2084882808 2171752925 2606103510 2817409200 3474804680 4169765616 4343505850 5212207020 6515258775 6949609360 8687011700 10424414040 13030517550 17374023400 20848828080 26061035100 34748046800 52122070200 104244140400