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130401502240 = 25519112338197
BaseRepresentation
bin111100101110010001…
…0010000010000100000
3110110120220102200011011
41321130202100100200
54114030241032430
6135523340430304
712264320323552
oct1713442202040
9413526380134
10130401502240
1150337280769
1221333248394
13c3b2120b19
1464509414d2
1535d322222a
hex1e5c890420

130401502240 has 96 divisors (see below), whose sum is σ = 324585213120. Its totient is φ = 49370010624.

The previous prime is 130401502229. The next prime is 130401502241. The reversal of 130401502240 is 42205104031.

It is not an unprimeable number, because it can be changed into a prime (130401502241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3394822 + ... + 3433018.

It is an arithmetic number, because the mean of its divisors is an integer number (3381095970).

Almost surely, 2130401502240 is an apocalyptic number.

130401502240 is a gapful number since it is divisible by the number (10) 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 130401502240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162292606560).

130401502240 is an abundant number, since it is smaller than the sum of its proper divisors (194183710880).

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

130401502240 is a wasteful number, since it uses less digits than its factorization.

130401502240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39354 (or 39346 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 130401502240 its reverse (42205104031), we get a palindrome (172606606271).

The spelling of 130401502240 in words is "one hundred thirty billion, four hundred one million, five hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1123 1520 2246 3040 4492 5615 8984 11230 17968 21337 22460 35936 38197 42674 44920 76394 85348 89840 106685 152788 170696 179680 190985 213370 305576 341392 381970 426740 611152 682784 725743 763940 853480 1222304 1451486 1527880 1706960 2902972 3055760 3413920 3628715 5805944 6111520 7257430 11611888 14514860 23223776 29029720 42895231 58059440 85790462 116118880 171580924 214476155 343161848 428952310 686323696 815009389 857904620 1372647392 1630018778 1715809240 3260037556 3431618480 4075046945 6520075112 6863236960 8150093890 13040150224 16300187780 26080300448 32600375560 65200751120 130401502240