Search a number
-
+
1413045501444 = 223352583248821
BaseRepresentation
bin10100100100000000000…
…100110011111000000100
312000002022120101221012000
4110210000010303320010
5141122404122021234
63001051045025300
7204042404404653
oct24440004637004
95002276357160
101413045501444
114a52a6390645
121a9a360b5230
13a333254a4b5
144c56b01b19a
1526b5359d899
hex14900133e04

1413045501444 has 48 divisors (see below), whose sum is σ = 3663535693440. Its totient is φ = 471004316640.

The previous prime is 1413045501431. The next prime is 1413045501499. The reversal of 1413045501444 is 4441055403141.

1413045501444 is a `hidden beast` number, since 1 + 41 + 30 + 45 + 501 + 4 + 44 = 666.

It is a super-2 number, since 2×14130455014442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1413045501399 and 1413045501408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5554554 + ... + 5803374.

It is an arithmetic number, because the mean of its divisors is an integer number (76323660280).

Almost surely, 21413045501444 is an apocalyptic number.

It is an amenable number.

1413045501444 is an abundant number, since it is smaller than the sum of its proper divisors (2250490191996).

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

1413045501444 is a wasteful number, since it uses less digits than its factorization.

1413045501444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301417 (or 301409 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 1413045501444 in words is "one trillion, four hundred thirteen billion, forty-five million, five hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 52583 105166 157749 210332 248821 315498 473247 497642 630996 746463 946494 995284 1419741 1492926 1892988 2239389 2839482 2985852 4478778 5678964 6718167 8957556 13436334 26872668 13083754643 26167509286 39251263929 52335018572 78502527858 117753791787 157005055716 235507583574 353261375361 471015167148 706522750722 1413045501444