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104523331440 = 24351139592171
BaseRepresentation
bin110000101011000010…
…0110111011101110000
3100222210102002101110210
41201112010313131300
53203030433101230
6120003425424120
710360120441503
oct1412604673560
9328712071423
10104523331440
1140367771a50
121831079b040
139b19994b18
1450b7ac113a
152abb3d5eb0
hex1856137770

104523331440 has 80 divisors (see below), whose sum is σ = 353478911616. Its totient is φ = 25338988800.

The previous prime is 104523331391. The next prime is 104523331453. The reversal of 104523331440 is 44133325401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 104523331398 and 104523331407.

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, 19793446 + ... + 19798725.

Almost surely, 2104523331440 is an apocalyptic number.

104523331440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104523331440 is an abundant number, since it is smaller than the sum of its proper divisors (248955580176).

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

104523331440 is a wasteful number, since it uses less digits than its factorization.

104523331440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39592198 (or 39592192 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 104523331440 its reverse (44133325401), we get a palindrome (148656656841).

The spelling of 104523331440 in words is "one hundred four billion, five hundred twenty-three million, three hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 39592171 79184342 118776513 158368684 197960855 237553026 316737368 395921710 435513881 475106052 593882565 633474736 791843420 871027762 950212104 1187765130 1306541643 1583686840 1742055524 1900424208 2177569405 2375530260 2613083286 3167373680 3484111048 4355138810 4751060520 5226166572 6532708215 6968222096 8710277620 9502121040 10452333144 13065416430 17420555240 20904666288 26130832860 34841110480 52261665720 104523331440