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238344336414 = 232371515214549
BaseRepresentation
bin1101110111111001101…
…1011111010000011110
3211210012121220210112100
43131332123133100132
512401112122231124
6301254402145530
723135252301162
oct3357633372036
9753177823470
10238344336414
1192099189728
123a2390522a6
1319625379732
14b770828ca2
1562ee9141c9
hex377e6df41e

238344336414 has 96 divisors (see below), whose sum is σ = 535024526400. Its totient is φ = 76624704000.

The previous prime is 238344336401. The next prime is 238344336427. The reversal of 238344336414 is 414633443832.

238344336414 is a `hidden beast` number, since 238 + 3 + 4 + 43 + 364 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (238344336401) and next prime (238344336427).

It is a self number, because there is not a number n which added to its sum of digits gives 238344336414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52392612 + ... + 52397160.

It is an arithmetic number, because the mean of its divisors is an integer number (5573172150).

Almost surely, 2238344336414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238344336414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267512263200).

238344336414 is an abundant number, since it is smaller than the sum of its proper divisors (296680189986).

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

238344336414 is a wasteful number, since it uses less digits than its factorization.

238344336414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5266 (or 5263 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 45.

The spelling of 238344336414 in words is "two hundred thirty-eight billion, three hundred forty-four million, three hundred thirty-six thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 37 74 111 151 222 302 333 453 521 666 906 1042 1359 1563 2718 3126 4549 4689 5587 9098 9378 11174 13647 16761 19277 27294 33522 38554 40941 50283 57831 78671 81882 100566 115662 157342 168313 173493 236013 336626 346986 472026 504939 686899 708039 1009878 1373798 1416078 1514817 2060697 2370029 2910827 3029634 4121394 4740058 5821654 6182091 7110087 8732481 12364182 14220174 17464962 21330261 25415263 26197443 42660522 50830526 52394886 76245789 87691073 152491578 175382146 228737367 263073219 357874379 457474734 526146438 715748758 789219657 1073623137 1578439314 2147246274 3220869411 6441738822 13241352023 26482704046 39724056069 79448112138 119172168207 238344336414