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1144424332044 = 223377121320969
BaseRepresentation
bin10000101001110101000…
…000010111101100001100
311001101221220021122211000
4100221311000113230030
5122222240112111134
62233424041100300
7145452621214410
oct20516500275414
94041856248730
101144424332044
114013907781a4
12165969487690
1383bc365c996
143d5674c4d40
151eb80acae99
hex10a75017b0c

1144424332044 has 96 divisors (see below), whose sum is σ = 3438646041600. Its totient is φ = 322373036160.

The previous prime is 1144424332033. The next prime is 1144424332049. The reversal of 1144424332044 is 4402334244411.

1144424332044 is a `hidden beast` number, since 1 + 1 + 4 + 442 + 4 + 3 + 3 + 204 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1144424332049) 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 31 ways as a sum of consecutive naturals, for example, 10606809 + ... + 10714160.

It is an arithmetic number, because the mean of its divisors is an integer number (35819229600).

Almost surely, 21144424332044 is an apocalyptic number.

1144424332044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1144424332044 is an abundant number, since it is smaller than the sum of its proper divisors (2294221709556).

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

1144424332044 is a wasteful number, since it uses less digits than its factorization.

1144424332044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21321060 (or 21321052 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 1144424332044 its reverse (4402334244411), we get a palindrome (5546758576455).

The spelling of 1144424332044 in words is "one trillion, one hundred forty-four billion, four hundred twenty-four million, three hundred thirty-two thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 71 84 108 126 142 189 213 252 284 378 426 497 639 756 852 994 1278 1491 1917 1988 2556 2982 3834 4473 5964 7668 8946 13419 17892 26838 53676 21320969 42641938 63962907 85283876 127925814 149246783 191888721 255851628 298493566 383777442 447740349 575666163 596987132 767554884 895480698 1151332326 1343221047 1513788799 1790961396 2302664652 2686442094 3027577598 4029663141 4541366397 5372884188 6055155196 8059326282 9082732794 10596521593 13624099191 16118652564 18165465588 21193043186 27248198382 31789564779 40872297573 42386086372 54496396764 63579129558 81744595146 95368694337 127158259116 163489190292 190737388674 286106083011 381474777348 572212166022 1144424332044