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1372742412930 = 233571753414329
BaseRepresentation
bin10011111110011101110…
…100101110101010000010
311212020021210000220102000
4103332131310232222002
5134442334024203210
62530343522004430
7201114556662120
oct23763564565202
94766253026360
101372742412930
1148a1a4339729
121a20687a6716
139c5ab758425
144a6264b4910
1525a95197ac0
hex13f9dd2ea82

1372742412930 has 128 divisors (see below), whose sum is σ = 4185992563200. Its totient is φ = 313589947392.

The previous prime is 1372742412911. The next prime is 1372742412931. The reversal of 1372742412930 is 392142472731.

1372742412930 is a `hidden beast` number, since 1 + 3 + 72 + 7 + 424 + 129 + 30 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1372742412931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3106006 + ... + 3520334.

It is an arithmetic number, because the mean of its divisors is an integer number (32703066900).

Almost surely, 21372742412930 is an apocalyptic number.

1372742412930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1372742412930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092996281600).

1372742412930 is an abundant number, since it is smaller than the sum of its proper divisors (2813250150270).

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

1372742412930 is a wasteful number, since it uses less digits than its factorization.

1372742412930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416105 (or 416099 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 1372742412930 in words is "one trillion, three hundred seventy-two billion, seven hundred forty-two million, four hundred twelve thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1753 1890 3506 5259 8765 10518 12271 15777 17530 24542 26295 31554 36813 47331 52590 61355 73626 78885 94662 110439 122710 157770 184065 220878 236655 331317 368130 414329 473310 552195 662634 828658 1104390 1242987 1656585 2071645 2485974 2900303 3313170 3728961 4143290 5800606 6214935 7457922 8700909 11186883 12429870 14501515 17401818 18644805 22373766 26102727 29003030 37289610 43504545 52205454 55934415 78308181 87009090 111868830 130513635 156616362 261027270 391540905 726318737 783081810 1452637474 2178956211 3631593685 4357912422 5084231159 6536868633 7263187370 10168462318 10894781055 13073737266 15252693477 19610605899 21789562110 25421155795 30505386954 32684343165 39221211798 45758080431 50842311590 65368686330 76263467385 91516160862 98053029495 137274241293 152526934770 196106058990 228790402155 274548482586 457580804310 686371206465 1372742412930