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117440258000 = 24531331714249
BaseRepresentation
bin110110101011111111…
…1000001111111010000
3102020010121120020121012
41231113333001333100
53411004201224000
6125541252150052
711325164502512
oct1552777017720
9366117506535
10117440258000
1145895a6706a
121a916608328
13b0c7a9b530
1459813c3bb2
1530c53c8735
hex1b57fc1fd0

117440258000 has 160 divisors (see below), whose sum is σ = 306800676000. Its totient is φ = 43222732800.

The previous prime is 117440257981. The next prime is 117440258021. The reversal of 117440258000 is 852044711.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 111580049296 + 5860208704 = 334036^2 + 76552^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8234876 + ... + 8249124.

It is an arithmetic number, because the mean of its divisors is an integer number (1917504225).

Almost surely, 2117440258000 is an apocalyptic number.

117440258000 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 117440258000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153400338000).

117440258000 is an abundant number, since it is smaller than the sum of its proper divisors (189360418000).

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

117440258000 is a wasteful number, since it uses less digits than its factorization.

117440258000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14602 (or 14586 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The spelling of 117440258000 in words is "one hundred seventeen billion, four hundred forty million, two hundred fifty-eight thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 317 325 400 500 520 634 650 1000 1040 1268 1300 1585 1625 2000 2536 2600 3170 3250 4121 5072 5200 6340 6500 7925 8242 12680 13000 14249 15850 16484 20605 25360 26000 28498 31700 32968 39625 41210 56996 63400 65936 71245 79250 82420 103025 113992 126800 142490 158500 164840 185237 206050 227984 284980 317000 329680 356225 370474 412100 515125 569960 634000 712450 740948 824200 926185 1030250 1139920 1424900 1481896 1648400 1781125 1852370 2060500 2849800 2963792 3562250 3704740 4121000 4516933 4630925 5699600 7124500 7409480 8242000 9033866 9261850 14249000 14818960 18067732 18523700 22584665 23154625 28498000 36135464 37047400 45169330 46309250 58720129 72270928 74094800 90338660 92618500 112923325 117440258 180677320 185237000 225846650 234880516 293600645 361354640 370474000 451693300 469761032 564616625 587201290 903386600 939522064 1129233250 1174402580 1468003225 1806773200 2258466500 2348805160 2936006450 4516933000 4697610320 5872012900 7340016125 9033866000 11744025800 14680032250 23488051600 29360064500 58720129000 117440258000