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14442135252 = 22323271293659
BaseRepresentation
bin11010111001101000…
…10111111011010100
31101021111102111010020
431130310113323110
5214034141312002
610345025025140
71020614060406
oct153464277324
941244374106
1014442135252
116141232a76
1229707851b0
1314920b3b7c
149b00c8b76
15597d6b2bc
hex35cd17ed4

14442135252 has 96 divisors (see below), whose sum is σ = 35467407360. Its totient is φ = 4565151360.

The previous prime is 14442135247. The next prime is 14442135293. The reversal of 14442135252 is 25253124441.

It is a super-2 number, since 2×144421352522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21914899 + ... + 21915557.

It is an arithmetic number, because the mean of its divisors is an integer number (369452160).

Almost surely, 214442135252 is an apocalyptic number.

14442135252 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 14442135252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17733703680).

14442135252 is an abundant number, since it is smaller than the sum of its proper divisors (21025272108).

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

14442135252 is a wasteful number, since it uses less digits than its factorization.

14442135252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1251 counting only the distinct ones).

The product of its digits is 38400, while the sum is 33.

Adding to 14442135252 its reverse (25253124441), we get a palindrome (39695259693).

The spelling of 14442135252 in words is "fourteen billion, four hundred forty-two million, one hundred thirty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 271 276 293 542 586 659 813 879 1084 1172 1318 1626 1758 1977 2636 3252 3516 3954 6233 6739 7908 12466 13478 15157 18699 20217 24932 26956 30314 37398 40434 45471 60628 74796 79403 80868 90942 158806 178589 181884 193087 238209 317612 357178 386174 476418 535767 579261 714356 772348 952836 1071534 1158522 1826269 2143068 2317044 3652538 4107547 4441001 5478807 7305076 8215094 8882002 10957614 12322641 13323003 16430188 17764004 21915228 24645282 26646006 49290564 52326577 53292012 104653154 156979731 209306308 313959462 627918924 1203511271 2407022542 3610533813 4814045084 7221067626 14442135252