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1371410742816 = 253228571166667
BaseRepresentation
bin10011111101001110011…
…100110011111000100000
311212002211222021001102200
4103331032130303320200
5134432122122232231
62530003431413200
7201036556656012
oct23751634637040
94762758231380
101371410742816
11489680680214
121a1956824200
139c4288b224a
144a53b6ac1b2
1525a182edbe6
hex13f4e733e20

1371410742816 has 72 divisors (see below), whose sum is σ = 3900109200624. Its totient is φ = 457118171520.

The previous prime is 1371410742811. The next prime is 1371410742817. The reversal of 1371410742816 is 6182470141731.

1371410742816 is a `hidden beast` number, since 137 + 1 + 410 + 74 + 28 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×13714107428162 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1371410742811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8145115 + ... + 8311781.

It is an arithmetic number, because the mean of its divisors is an integer number (54168183342).

Almost surely, 21371410742816 is an apocalyptic number.

1371410742816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1371410742816 is an abundant number, since it is smaller than the sum of its proper divisors (2528698457808).

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

1371410742816 is a wasteful number, since it uses less digits than its factorization.

1371410742816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195254 (or 195243 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1371410742816 in words is "one trillion, three hundred seventy-one billion, four hundred ten million, seven hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 28571 57142 85713 114284 166667 171426 228568 257139 333334 342852 457136 500001 514278 666668 685704 914272 1000002 1028556 1333336 1371408 1500003 2000004 2057112 2666672 2742816 3000006 4000008 4114224 5333344 6000012 8000016 8228448 12000024 16000032 24000048 48000096 4761842857 9523685714 14285528571 19047371428 28571057142 38094742856 42856585713 57142114284 76189485712 85713171426 114284228568 152378971424 171426342852 228568457136 342852685704 457136914272 685705371408 1371410742816