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1379144272464 = 243271972010457
BaseRepresentation
bin10100000100011011011…
…001111000101001010000
311212211210221021001201200
4110010123121320221100
5140043441413204324
62533323052031200
7201432323615460
oct24043331705120
94784727231650
101379144272464
11491989a95532
121a3354762500
13a008bb66caa
144aa7280dba0
1525d1c20eec9
hex1411b678a50

1379144272464 has 120 divisors (see below), whose sum is σ = 4643234331840. Its totient is φ = 373302203904.

The previous prime is 1379144272463. The next prime is 1379144272469. The reversal of 1379144272464 is 4642724419731.

1379144272464 is a `hidden beast` number, since 1 + 3 + 7 + 91 + 442 + 72 + 46 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1379144272464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1379144272463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35986077 + ... + 36024380.

It is an arithmetic number, because the mean of its divisors is an integer number (38693619432).

Almost surely, 21379144272464 is an apocalyptic number.

1379144272464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1379144272464 is an abundant number, since it is smaller than the sum of its proper divisors (3264090059376).

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

1379144272464 is a wasteful number, since it uses less digits than its factorization.

1379144272464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72010497 (or 72010488 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 1379144272464 in words is "one trillion, three hundred seventy-nine billion, one hundred forty-four million, two hundred seventy-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3192 4788 6384 9576 19152 72010457 144020914 216031371 288041828 432062742 504073199 576083656 648094113 864125484 1008146398 1152167312 1296188226 1368198683 1512219597 1728250968 2016292796 2592376452 2736397366 3024439194 3456501936 4032585592 4104596049 4536658791 5184752904 5472794732 6048878388 8065171184 8209192098 9073317582 9577390781 10369505808 10945589464 12097756776 12313788147 16418384196 18146635164 19154781562 21891178928 24195513552 24627576294 28732172343 32836768392 36293270328 38309563124 49255152588 57464344686 65673536784 72586540656 76619126248 86196517029 98510305176 114928689372 153238252496 172393034058 197020610352 229857378744 344786068116 459714757488 689572136232 1379144272464