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10344410110740 = 2235744492315771
BaseRepresentation
bin1001011010000111111011…
…1000111101101100010100
31100121220201201121122200210
42112201332320331230110
52323440322442020430
634000053441005420
72115234061106316
oct226417670755424
940556651548623
1010344410110740
113329048913882
1211b0996023870
135a06208cc764
1427a95a4297b6
1512e13636d2b0
hex9687ee3db14

10344410110740 has 48 divisors (see below), whose sum is σ = 28964749867200. Its totient is φ = 2758471119360.

The previous prime is 10344410110729. The next prime is 10344410110813. The reversal of 10344410110740 is 4701101444301.

It is a super-3 number, since 3×103444101107403 (a number of 40 digits) contains 333 as substring.

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 = 10344410110698 and 10344410110707.

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, 3309055 + ... + 5624825.

It is an arithmetic number, because the mean of its divisors is an integer number (603432288900).

Almost surely, 210344410110740 is an apocalyptic number.

10344410110740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10344410110740 is an abundant number, since it is smaller than the sum of its proper divisors (18620339756460).

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

10344410110740 is a wasteful number, since it uses less digits than its factorization.

10344410110740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390232 (or 2390230 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 10344410110740 in words is "ten trillion, three hundred forty-four billion, four hundred ten million, one hundred ten thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 74449 148898 223347 297796 372245 446694 744490 893388 1116735 1488980 2233470 2315771 4466940 4631542 6947313 9263084 11578855 13894626 23157710 27789252 34736565 46315420 69473130 138946260 172406835179 344813670358 517220505537 689627340716 862034175895 1034441011074 1724068351790 2068882022148 2586102527685 3448136703580 5172205055370 10344410110740