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1444041396 = 2232745712539
BaseRepresentation
bin101011000010010…
…0101001010110100
310201122012220101200
41112010211022310
510424133311041
6355142452500
750533102140
oct12604451264
93648186350
101444041396
1168113a746
12343734130
131a022b985
14d9ad8220
1586b941b6
hex561252b4

1444041396 has 72 divisors (see below), whose sum is σ = 4181136960. Its totient is φ = 411647616.

The previous prime is 1444041383. The next prime is 1444041409. The reversal of 1444041396 is 6931404441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1444041383) and next prime (1444041409).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1444041396.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 108895 + ... + 121433.

Almost surely, 21444041396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444041396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090568480).

1444041396 is an abundant number, since it is smaller than the sum of its proper divisors (2737095564).

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

1444041396 is a wasteful number, since it uses less digits than its factorization.

1444041396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13013 (or 13008 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1444041396 is about 38000.5446803069. The cubic root of 1444041396 is about 1130.2986643653.

The spelling of 1444041396 in words is "one billion, four hundred forty-four million, forty-one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 457 914 1371 1828 2742 3199 4113 5484 6398 8226 9597 12539 12796 16452 19194 25078 28791 37617 38388 50156 57582 75234 87773 112851 115164 150468 175546 225702 263319 351092 451404 526638 789957 1053276 1579914 3159828 5730323 11460646 17190969 22921292 34381938 40112261 51572907 68763876 80224522 103145814 120336783 160449044 206291628 240673566 361010349 481347132 722020698 1444041396