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115355604224 = 2872910312153
BaseRepresentation
bin110101101101110111…
…0101101010100000000
3102000202022220212020002
41223123232231110000
53342222013313344
6124554342535132
711222422312640
oct1533356552400
9360668825202
10115355604224
1144a1625a903
121a4344374a8
13ab54c247a3
1458245b0520
15300239344e
hex1adbbad500

115355604224 has 144 divisors (see below), whose sum is σ = 272619889920. Its totient is φ = 47664906240.

The previous prime is 115355604223. The next prime is 115355604239. The reversal of 115355604224 is 422406553511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115355604223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53577932 + ... + 53580084.

It is an arithmetic number, because the mean of its divisors is an integer number (1893193680).

Almost surely, 2115355604224 is an apocalyptic number.

115355604224 is a gapful number since it is divisible by the number (14) 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 115355604224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136309944960).

115355604224 is an abundant number, since it is smaller than the sum of its proper divisors (157264285696).

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

115355604224 is a wasteful number, since it uses less digits than its factorization.

115355604224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The spelling of 115355604224 in words is "one hundred fifteen billion, three hundred fifty-five million, six hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 812 896 928 1031 1624 1792 1856 2062 2153 3248 3712 4124 4306 6496 7217 7424 8248 8612 12992 14434 15071 16496 17224 25984 28868 29899 30142 32992 34448 51968 57736 59798 60284 62437 65984 68896 115472 119596 120568 124874 131968 137792 209293 230944 239192 241136 249748 263936 275584 418586 437059 461888 478384 482272 499496 551168 837172 874118 923776 956768 964544 998992 1674344 1748236 1847552 1913536 1929088 1997984 2219743 3348688 3496472 3827072 3858176 3995968 4439486 6697376 6992944 7654144 7991936 8878972 13394752 13985888 15538201 15983872 17757944 26789504 27971776 31076402 35515888 53579008 55943552 62152804 64372547 71031776 111887104 124305608 128745094 142063552 248611216 257490188 284127104 450607829 497222432 514980376 568254208 901215658 994444864 1029960752 1802431316 1988889728 2059921504 3604862632 3977779456 4119843008 7209725264 8239686016 14419450528 16479372032 28838901056 57677802112 115355604224