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1013214144 = 26317535857
BaseRepresentation
bin111100011001000…
…110101111000000
32121121112121111210
4330121012233000
54033340323034
6244312410120
734052115045
oct7431065700
92547477453
101013214144
1147aa29868
122433a6940
13131bb59c7
14987cb1cc
155de418e9
hex3c646bc0

1013214144 has 112 divisors (see below), whose sum is σ = 2892539808. Its totient is φ = 311820288.

The previous prime is 1013214131. The next prime is 1013214157. The reversal of 1013214144 is 4414123101.

It is an interprime number because it is at equal distance from previous prime (1013214131) and next prime (1013214157).

It is a self number, because there is not a number n which added to its sum of digits gives 1013214144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170064 + ... + 175920.

Almost surely, 21013214144 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 1013214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446269904).

1013214144 is an abundant number, since it is smaller than the sum of its proper divisors (1879325664).

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

1013214144 is a wasteful number, since it uses less digits than its factorization.

1013214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5942 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1013214144 is about 31831.0248656872. The cubic root of 1013214144 is about 1004.3854543429.

Adding to 1013214144 its reverse (4414123101), we get a palindrome (5427337245).

The spelling of 1013214144 in words is "one billion, thirteen million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 64 68 96 102 106 136 159 192 204 212 272 318 408 424 544 636 816 848 901 1088 1272 1632 1696 1802 2544 2703 3264 3392 3604 5088 5406 5857 7208 10176 10812 11714 14416 17571 21624 23428 28832 35142 43248 46856 57664 70284 86496 93712 99569 140568 172992 187424 199138 281136 298707 310421 374848 398276 562272 597414 620842 796552 931263 1124544 1194828 1241684 1593104 1862526 2389656 2483368 3186208 3725052 4779312 4966736 5277157 6372416 7450104 9558624 9933472 10554314 14900208 15831471 19117248 19866944 21108628 29800416 31662942 42217256 59600832 63325884 84434512 126651768 168869024 253303536 337738048 506607072 1013214144