Search a number
-
+
124042144243032 = 233219731242110713
BaseRepresentation
bin11100001101000011001111…
…111100011101110101011000
3121021012022110022022002211200
4130031003033330131311120
5112224301302411234112
61115452101400154200
735061514653304431
oct3415031774356530
9537168408262750
10124042144243032
1136583a837203a4
1211ab4247168960
13542a17c5b6702
14228b959662488
15e5194a49dcdc
hex70d0cff1dd58

124042144243032 has 96 divisors (see below), whose sum is σ = 358473152060400. Its totient is φ = 38634611586048.

The previous prime is 124042144243027. The next prime is 124042144243091. The reversal of 124042144243032 is 230342441240421.

124042144243032 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 4 + 214 + 4 + 2 + 430 + 3 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 620955493 + ... + 621155220.

Almost surely, 2124042144243032 is an apocalyptic number.

124042144243032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

124042144243032 is an abundant number, since it is smaller than the sum of its proper divisors (234431007817368).

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

124042144243032 is a wasteful number, since it uses less digits than its factorization.

124042144243032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242110817 (or 1242110810 counting only the distinct ones).

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

Adding to 124042144243032 its reverse (230342441240421), we get a palindrome (354384585483453).

The spelling of 124042144243032 in words is "one hundred twenty-four trillion, forty-two billion, one hundred forty-four million, two hundred forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 73 76 114 146 152 171 219 228 292 342 438 456 584 657 684 876 1314 1368 1387 1752 2628 2774 4161 5256 5548 8322 11096 12483 16644 24966 33288 49932 99864 1242110713 2484221426 3726332139 4968442852 7452664278 9936885704 11178996417 14905328556 22357992834 23600103547 29810657112 44715985668 47200207094 70800310641 89431971336 90674082049 94400414188 141600621282 181348164098 188800828376 212400931923 272022246147 283201242564 362696328196 424801863846 544044492294 566402485128 725392656392 816066738441 849603727692 1088088984588 1632133476882 1699207455384 1722807558931 2176177969176 3264266953764 3445615117862 5168422676793 6528533907528 6891230235724 10336845353586 13782460471448 15505268030379 20673690707172 31010536060758 41347381414344 62021072121516 124042144243032