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1107668064240 = 24335512809289
BaseRepresentation
bin10000000111100110001…
…010010101011111110000
310220220002021212210101000
4100013212022111133300
5121122001011023430
62204504454442000
7143012022124653
oct20074612253760
93826067783330
101107668064240
11397839822171
1215a80b963300
13805b661b4aa
143b87ba4789a
151dc2dc7ee60
hex101e62957f0

1107668064240 has 80 divisors (see below), whose sum is σ = 3815301117600. Its totient is φ = 295378149888.

The previous prime is 1107668064193. The next prime is 1107668064259. The reversal of 1107668064240 is 424608667011.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256402485 + ... + 256406804.

It is an arithmetic number, because the mean of its divisors is an integer number (47691263970).

Almost surely, 21107668064240 is an apocalyptic number.

1107668064240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1107668064240 is an abundant number, since it is smaller than the sum of its proper divisors (2707633053360).

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

1107668064240 is a wasteful number, since it uses less digits than its factorization.

1107668064240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512809311 (or 512809299 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1107668064240 in words is "one trillion, one hundred seven billion, six hundred sixty-eight million, sixty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 512809289 1025618578 1538427867 2051237156 2564046445 3076855734 4102474312 4615283601 5128092890 6153711468 7692139335 8204948624 9230567202 10256185780 12307422936 13845850803 15384278670 18461134404 20512371560 23076418005 24614845872 27691701606 30768557340 36922268808 41024743120 46152836010 55383403212 61537114680 69229254015 73844537616 92305672020 110766806424 123074229360 138458508030 184611344040 221533612848 276917016060 369222688080 553834032120 1107668064240