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144242412336 = 243311231319741
BaseRepresentation
bin1000011001010110000…
…1001000101100110000
3111210022111112202102000
42012111201020230300
54330402024143321
6150133011254000
713264314163251
oct2062541105460
9453274482360
10144242412336
115619a099340
1223b565aa300
13107a979a559
146da4c44b28
153b433cc826
hex2195848b30

144242412336 has 160 divisors (see below), whose sum is σ = 471306263040. Its totient is φ = 41809363200.

The previous prime is 144242412317. The next prime is 144242412337. The reversal of 144242412336 is 633214242441.

144242412336 is a `hidden beast` number, since 1 + 44 + 242 + 41 + 2 + 336 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 144242412336.

It is not an unprimeable number, because it can be changed into a prime (144242412337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550575 + ... + 769166.

It is an arithmetic number, because the mean of its divisors is an integer number (2945664144).

Almost surely, 2144242412336 is an apocalyptic number.

144242412336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144242412336 is an abundant number, since it is smaller than the sum of its proper divisors (327063850704).

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

144242412336 is a wasteful number, since it uses less digits than its factorization.

144242412336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319792 (or 1319780 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 144242412336 its reverse (633214242441), we get a palindrome (777456654777).

The spelling of 144242412336 in words is "one hundred forty-four billion, two hundred forty-two million, four hundred twelve thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 27 33 36 44 46 48 54 66 69 72 88 92 99 108 132 138 144 176 184 198 207 216 253 264 276 297 368 396 414 432 506 528 552 594 621 759 792 828 1012 1104 1188 1242 1518 1584 1656 2024 2277 2376 2484 3036 3312 4048 4554 4752 4968 6072 6831 9108 9936 12144 13662 18216 27324 36432 54648 109296 1319741 2639482 3959223 5278964 7918446 10557928 11877669 14517151 15836892 21115856 23755338 29034302 30354043 31673784 35633007 43551453 47510676 58068604 60708086 63347568 71266014 87102906 91062129 95021352 116137208 121416172 130654359 142532028 174205812 182124258 190042704 232274416 242832344 261308718 273186387 285064056 333894473 348411624 364248516 391963077 485664688 522617436 546372774 570128112 667788946 696823248 728497032 783926154 819559161 1001683419 1045234872 1092745548 1335577892 1456994064 1567852308 1639118322 2003366838 2090469744 2185491096 2671155784 3005050257 3135704616 3278236644 4006733676 4370982192 5342311568 6010100514 6271409232 6556473288 8013467352 9015150771 12020201028 13112946576 16026934704 18030301542 24040402056 36060603084 48080804112 72121206168 144242412336