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238152708516144 = 243881115122032221
BaseRepresentation
bin110110001001100100111111…
…100101111110100100110000
31011020020011202201201121110010
4312021210333211332210300
5222203343221340004034
62202301502142134520
7101106652062010122
oct6611447745764460
91136204681647403
10238152708516144
1169978aa6368a84
1222863710281440
13a2b691ca4a4b6
1442b491ca0d212
151c7ed725763e9
hexd8993f97e930

238152708516144 has 160 divisors (see below), whose sum is σ = 617018796269568. Its totient is φ = 79153620480000.

The previous prime is 238152708516133. The next prime is 238152708516169. The reversal of 238152708516144 is 441615807251832.

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, 107227692954 + ... + 107227695174.

Almost surely, 2238152708516144 is an apocalyptic number.

238152708516144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

238152708516144 is an abundant number, since it is smaller than the sum of its proper divisors (378866087753424).

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

238152708516144 is a wasteful number, since it uses less digits than its factorization.

238152708516144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6467 (or 6461 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 57.

The spelling of 238152708516144 in words is "two hundred thirty-eight trillion, one hundred fifty-two billion, seven hundred eight million, five hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 881 1151 1762 2203 2221 2302 2643 3453 3524 4406 4442 4604 5286 6609 6663 6906 7048 8812 8884 9208 10572 13218 13326 13812 14096 17624 17768 18416 21144 26436 26652 27624 35248 35536 42288 52872 53304 55248 105744 106608 1014031 1940843 1956701 2028062 2535653 2556371 3042093 3881686 3913402 4056124 4892863 5071306 5112742 5822529 5870103 6084186 7606959 7669113 7763372 7826804 8112248 9785726 10142612 10225484 11645058 11740206 12168372 14678589 15213918 15338226 15526744 15653608 16224496 19571452 20285224 20450968 23290116 23480412 24336744 29357178 30427836 30676452 31053488 31307216 39142904 40570448 40901936 46580232 46960824 48673488 58714356 60855672 61352904 78285808 93160464 93921648 117428712 121711344 122705808 234857424 2233910293 2252162851 4310612303 4467820586 4504325702 5631685313 6701730879 6756488553 8621224606 8935641172 9008651404 11263370626 12931836909 13403461758 13512977106 16895055939 17242449212 17871282344 18017302808 22526741252 25863673818 26806923516 27025954212 33790111878 34484898424 35742564688 36034605616 45053482504 51727347636 53613847032 54051908424 67580223756 68969796848 90106965008 103454695272 107227694064 108103816848 135160447512 206909390544 270320895024 4961514760753 9923029521506 14884544282259 19846059043012 29769088564518 39692118086024 59538177129036 79384236172048 119076354258072 238152708516144