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104304121440 = 2535463469331
BaseRepresentation
bin110000100100100000…
…0101001011001100000
3100222020010121100212220
41201021000221121200
53202103323341230
6115525555151040
710351516255341
oct1411100513140
9328203540786
10104304121440
1140264a59262
121826b2a5480
139ab3442b6c
14509693c0c8
152aa7034d10
hex1849029660

104304121440 has 96 divisors (see below), whose sum is σ = 329268312576. Its totient is φ = 27754298880.

The previous prime is 104304121417. The next prime is 104304121451. The reversal of 104304121440 is 44121403401.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 104304121440.

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, 12426 + ... + 456905.

It is an arithmetic number, because the mean of its divisors is an integer number (3429878256).

Almost surely, 2104304121440 is an apocalyptic number.

104304121440 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 104304121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164634156288).

104304121440 is an abundant number, since it is smaller than the sum of its proper divisors (224964191136).

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

104304121440 is a wasteful number, since it uses less digits than its factorization.

104304121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469812 (or 469804 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 104304121440 its reverse (44121403401), we get a palindrome (148425524841).

The spelling of 104304121440 in words is "one hundred four billion, three hundred four million, one hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 463 480 926 1389 1852 2315 2778 3704 4630 5556 6945 7408 9260 11112 13890 14816 18520 22224 27780 37040 44448 55560 74080 111120 222240 469331 938662 1407993 1877324 2346655 2815986 3754648 4693310 5631972 7039965 7509296 9386620 11263944 14079930 15018592 18773240 22527888 28159860 37546480 45055776 56319720 75092960 112639440 217300253 225278880 434600506 651900759 869201012 1086501265 1303801518 1738402024 2173002530 2607603036 3259503795 3476804048 4346005060 5215206072 6519007590 6953608096 8692010120 10430412144 13038015180 17384020240 20860824288 26076030360 34768040480 52152060720 104304121440