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1440986112 = 210355791
BaseRepresentation
bin101010111100011…
…1011010000000000
310201102110200100000
41111320323100000
510422343023422
6354553200000
750465115456
oct12570732000
93642420300
101440986112
1167a443215
12342700000
1319c6cc107
14d95409d6
158678dcac
hex55e3b400

1440986112 has 132 divisors (see below), whose sum is σ = 4315665536. Its totient is φ = 480245760.

The previous prime is 1440986111. The next prime is 1440986117. The reversal of 1440986112 is 2116890441.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1440986111) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 245937 + ... + 251727.

Almost surely, 21440986112 is an apocalyptic number.

1440986112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1440986112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157832768).

1440986112 is an abundant number, since it is smaller than the sum of its proper divisors (2874679424).

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

1440986112 is an frugal number, since it uses more digits than its factorization.

1440986112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5826 (or 5796 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1440986112 is about 37960.3228648019. The cubic root of 1440986112 is about 1129.5009444287.

The spelling of 1440986112 in words is "one billion, four hundred forty million, nine hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2304 2592 3072 3456 3888 4608 5184 5791 6912 7776 9216 10368 11582 13824 15552 17373 20736 23164 27648 31104 34746 41472 46328 52119 62208 69492 82944 92656 104238 124416 138984 156357 185312 208476 248832 277968 312714 370624 416952 469071 555936 625428 741248 833904 938142 1111872 1250856 1407213 1482496 1667808 1876284 2223744 2501712 2814426 2964992 3335616 3752568 4447488 5003424 5628852 5929984 6671232 7505136 8894976 10006848 11257704 13342464 15010272 17789952 20013696 22515408 26684928 30020544 40027392 45030816 53369856 60041088 80054784 90061632 120082176 160109568 180123264 240164352 360246528 480328704 720493056 1440986112