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14155612152 = 23311831135717
BaseRepresentation
bin11010010111011110…
…10111111111111000
31100112112021121022120
431023233113333320
5212442314042102
610300351521240
71010534501163
oct151357277770
940475247276
1014155612152
116004523a20
1228b0829220
131447924386
14984022ada
1557cb206bc
hex34bbd7ff8

14155612152 has 128 divisors (see below), whose sum is σ = 39424008960. Its totient is φ = 4199659520.

The previous prime is 14155612147. The next prime is 14155612271. The reversal of 14155612152 is 25121655141.

It is a happy number.

It is a super-2 number, since 2×141556121522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 2473198 + ... + 2478914.

It is an arithmetic number, because the mean of its divisors is an integer number (308000070).

Almost surely, 214155612152 is an apocalyptic number.

14155612152 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 14155612152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19712004480).

14155612152 is an abundant number, since it is smaller than the sum of its proper divisors (25268396808).

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

14155612152 is a wasteful number, since it uses less digits than its factorization.

14155612152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5933 (or 5929 counting only the distinct ones).

The product of its digits is 12000, while the sum is 33.

The spelling of 14155612152 in words is "fourteen billion, one hundred fifty-five million, six hundred twelve thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 83 88 113 132 166 226 249 264 332 339 452 498 664 678 904 913 996 1243 1356 1826 1992 2486 2712 2739 3652 3729 4972 5478 5717 7304 7458 9379 9944 10956 11434 14916 17151 18758 21912 22868 28137 29832 34302 37516 45736 56274 62887 68604 75032 103169 112548 125774 137208 188661 206338 225096 251548 309507 377322 412676 474511 503096 619014 646021 754644 825352 949022 1238028 1292042 1423533 1509288 1898044 1938063 2476056 2584084 2847066 3796088 3876126 5168168 5219621 5694132 7106231 7752252 10439242 11388264 14212462 15504504 15658863 20878484 21318693 28424924 31317726 41756968 42637386 53619743 56849848 62635452 85274772 107239486 125270904 160859229 170549544 214478972 321718458 428957944 589817173 643436916 1179634346 1286873832 1769451519 2359268692 3538903038 4718537384 7077806076 14155612152