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1416260441385 = 325613121165313
BaseRepresentation
bin10100100110111111101…
…100110101010100101001
312000101121121212210200200
4110212333230311110221
5141201000133111020
63002342052222413
7204215153060466
oct24467754652451
95011547783620
101416260441385
114a66a61085a9
121aa59290aa09
13a372561a21a
144c793db466d
1526c9094d590
hex149bfb35529

1416260441385 has 48 divisors (see below), whose sum is σ = 2495909449488. Its totient is φ = 742713753600.

The previous prime is 1416260441377. The next prime is 1416260441417. The reversal of 1416260441385 is 5831440626141.

1416260441385 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 2 + 604 + 4 + 1 + 38 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1173558389481 + 242702051904 = 1083309^2 + 492648^2 .

It is not a de Polignac number, because 1416260441385 - 23 = 1416260441377 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1416260441385.

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 47 ways as a sum of consecutive naturals, for example, 8484489 + ... + 8649801.

It is an arithmetic number, because the mean of its divisors is an integer number (51998113531).

Almost surely, 21416260441385 is an apocalyptic number.

1416260441385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1416260441385 is a deficient number, since it is larger than the sum of its proper divisors (1079649008103).

1416260441385 is a wasteful number, since it uses less digits than its factorization.

1416260441385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168506 (or 168503 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1416260441385 in words is "one trillion, four hundred sixteen billion, two hundred sixty million, four hundred forty-one thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 45 61 183 305 549 915 2745 3121 9363 15605 28089 46815 140445 165313 190381 495939 571143 826565 951905 1487817 1713429 2479695 2855715 7439085 8567145 10084093 30252279 50420465 90756837 151261395 453784185 515941873 1547825619 2579709365 4643476857 7739128095 23217384285 31472454253 94417362759 157362271265 283252088277 472086813795 1416260441385