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1468070241714 = 232172614626437
BaseRepresentation
bin10101010111001111110…
…011100010010110110010
312012100100100011100122100
4111113033303202112302
5143023101440213324
63042231104121230
7211031102106156
oct25271763422662
95170310140570
101468070241714
115166724193aa
121b8631906216
13a85912cb9cb
14510aac0d066
15282c41354c9
hex155cfce25b2

1468070241714 has 72 divisors (see below), whose sum is σ = 3434325214788. Its totient is φ = 453020613120.

The previous prime is 1468070241601. The next prime is 1468070241739. The reversal of 1468070241714 is 4171420708641.

1468070241714 is a `hidden beast` number, since 146 + 80 + 7 + 0 + 2 + 417 + 14 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 745796324025 + 722273917689 = 863595^2 + 849867^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1468070241714.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1995897 + ... + 2630540.

Almost surely, 21468070241714 is an apocalyptic number.

1468070241714 is an abundant number, since it is smaller than the sum of its proper divisors (1966254973074).

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

1468070241714 is a wasteful number, since it uses less digits than its factorization.

1468070241714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626540 (or 4626520 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 1468070241714 in words is "one trillion, four hundred sixty-eight billion, seventy million, two hundred forty-one thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 153 183 289 306 366 549 578 867 1037 1098 1734 2074 2601 3111 5202 6222 9333 17629 18666 35258 52887 105774 158661 317322 4626437 9252874 13879311 27758622 41637933 78649429 83275866 157298858 235948287 282212657 471896574 564425314 707844861 846637971 1337040293 1415689722 1693275942 2539913913 2674080586 4011120879 4797615169 5079827826 8022241758 9595230338 12033362637 14392845507 24066725274 28785691014 43178536521 81559457873 86357073042 163118915746 244678373619 489356747238 734035120857 1468070241714