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1430768144070 = 232519836706517
BaseRepresentation
bin10100110100100000011…
…011010100111011000110
312001210001200200110102100
4110310200123110323012
5141420203121102240
63013141422452530
7205240524363666
oct24644033247306
95053050613370
101430768144070
11501870354331
121b1361434146
13a4bc817a195
144d36ca8a1a6
152733e41be30
hex14d206d4ec6

1430768144070 has 48 divisors (see below), whose sum is σ = 3915786504240. Its totient is φ = 361457214912.

The previous prime is 1430768144059. The next prime is 1430768144081. The reversal of 1430768144070 is 704418670341.

1430768144070 is a `hidden beast` number, since 1 + 430 + 7 + 6 + 8 + 144 + 0 + 70 = 666.

It is an interprime number because it is at equal distance from previous prime (1430768144059) and next prime (1430768144081).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 418351549 + ... + 418354968.

It is an arithmetic number, because the mean of its divisors is an integer number (81578885505).

Almost surely, 21430768144070 is an apocalyptic number.

1430768144070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1430768144070 is an abundant number, since it is smaller than the sum of its proper divisors (2485018360170).

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

1430768144070 is a wasteful number, since it uses less digits than its factorization.

1430768144070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836706549 (or 836706546 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 1430768144070 in words is "one trillion, four hundred thirty billion, seven hundred sixty-eight million, one hundred forty-four thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 836706517 1673413034 2510119551 4183532585 5020239102 7530358653 8367065170 12550597755 15060717306 15897423823 25101195510 31794847646 37651793265 47692271469 75303586530 79487119115 95384542938 143076814407 158974238230 238461357345 286153628814 476922714690 715384072035 1430768144070