Search a number
-
+
130942597296 = 24372257921587
BaseRepresentation
bin111100111110011001…
…0010111100010110000
3110111222121121011000210
41321330302113202300
54121132301103141
6140053150144120
712313610466300
oct1717462274260
9414877534023
10130942597296
1150594756465
12214644b2040
13c46a264004
1464a2753600
1536159a6916
hex1e7cc978b0

130942597296 has 120 divisors (see below), whose sum is σ = 393666678720. Its totient is φ = 37395931776.

The previous prime is 130942597213. The next prime is 130942597297. The reversal of 130942597296 is 692795249031.

It is not an unprimeable number, because it can be changed into a prime (130942597297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6055015 + ... + 6076601.

It is an arithmetic number, because the mean of its divisors is an integer number (3280555656).

Almost surely, 2130942597296 is an apocalyptic number.

130942597296 is a gapful number since it is divisible by the number (16) 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 130942597296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196833339360).

130942597296 is an abundant number, since it is smaller than the sum of its proper divisors (262724081424).

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

130942597296 is a wasteful number, since it uses less digits than its factorization.

130942597296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24191 (or 24178 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 57.

The spelling of 130942597296 in words is "one hundred thirty billion, nine hundred forty-two million, five hundred ninety-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 2579 5158 7737 10316 15474 18053 20632 21587 30948 36106 41264 43174 54159 61896 64761 72212 86348 108318 123792 126371 129522 144424 151109 172696 216636 252742 259044 288848 302218 345392 379113 433272 453327 505484 518088 604436 758226 866544 906654 1010968 1036176 1057763 1208872 1516452 1813308 2021936 2115526 2417744 3032904 3173289 3626616 4231052 6065808 6346578 7253232 8462104 12693156 16924208 25386312 50772624 55672873 111345746 167018619 222691492 334037238 389710111 445382984 668074476 779420222 890765968 1169130333 1336148952 1558840444 2338260666 2672297904 2727970777 3117680888 4676521332 5455941554 6235361776 8183912331 9353042664 10911883108 16367824662 18706085328 21823766216 32735649324 43647532432 65471298648 130942597296