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115553432240 = 245171672512027
BaseRepresentation
bin110101110011110000…
…1010111001010110000
3102001021010011120020122
41223213201113022300
53343123134312430
6125030131025412
711230343653001
oct1534741271260
9361233146218
10115553432240
1145007999a34
121a48a73b268
13ab86bcb29c
1458429891a8
15301491dee5
hex1ae78572b0

115553432240 has 160 divisors (see below), whose sum is σ = 287450601984. Its totient is φ = 43048448000.

The previous prime is 115553432237. The next prime is 115553432243. The reversal of 115553432240 is 42234355511.

It is an interprime number because it is at equal distance from previous prime (115553432237) and next prime (115553432243).

It is a self number, because there is not a number n which added to its sum of digits gives 115553432240.

It is not an unprimeable number, because it can be changed into a prime (115553432243) 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 31 ways as a sum of consecutive naturals, for example, 57006107 + ... + 57008133.

Almost surely, 2115553432240 is an apocalyptic number.

115553432240 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 115553432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143725300992).

115553432240 is an abundant number, since it is smaller than the sum of its proper divisors (171897169744).

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

115553432240 is a wasteful number, since it uses less digits than its factorization.

115553432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 115553432240 its reverse (42234355511), we get a palindrome (157787787751).

The spelling of 115553432240 in words is "one hundred fifteen billion, five hundred fifty-three million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 167 170 251 272 334 340 502 668 680 835 1004 1255 1336 1360 1670 2008 2027 2510 2672 2839 3340 4016 4054 4267 5020 5678 6680 8108 8534 10040 10135 11356 13360 14195 16216 17068 20080 20270 21335 22712 28390 32432 34136 34459 40540 41917 42670 45424 56780 68272 68918 81080 83834 85340 113560 137836 162160 167668 170680 172295 209585 227120 275672 335336 338509 341360 344590 419170 508777 551344 670672 677018 689180 712589 838340 1017554 1354036 1378360 1425178 1676680 1692545 2035108 2543885 2708072 2756720 2850356 3353360 3385090 3562945 4070216 5087770 5416144 5700712 5754653 6770180 7125890 8140432 8649209 10175540 11401424 11509306 13540360 14251780 17298418 20351080 23018612 27080720 28503560 28773265 34596836 40702160 43246045 46037224 57007120 57546530 69193672 84965759 86492090 92074448 115093060 138387344 169931518 172984180 230186120 339863036 345968360 424828795 460372240 679726072 691936720 849657590 1359452144 1444417903 1699315180 2888835806 3398630360 5777671612 6797260720 7222089515 11555343224 14444179030 23110686448 28888358060 57776716120 115553432240