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115441142992 = 2474350947093
BaseRepresentation
bin110101110000011010…
…1000000110011010000
3102000222021212200100121
41223200311000303100
53342410413033432
6125011040200024
711224511345050
oct1534065006320
9360867780317
10115441142992
1144a5a5743aa
121a459009014
13ab69873c46
145831ab9560
153009b3d197
hex1ae0d40cd0

115441142992 has 80 divisors (see below), whose sum is σ = 262083761280. Its totient is φ = 48228235776.

The previous prime is 115441142977. The next prime is 115441143017. The reversal of 115441142992 is 299241144511.

It is a super-3 number, since 3×1154411429923 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2427798 + ... + 2474890.

It is an arithmetic number, because the mean of its divisors is an integer number (3276047016).

Almost surely, 2115441142992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115441142992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131041880640).

115441142992 is an abundant number, since it is smaller than the sum of its proper divisors (146642618288).

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

115441142992 is a wasteful number, since it uses less digits than its factorization.

115441142992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47660 (or 47654 counting only the distinct ones).

The product of its digits is 103680, while the sum is 43.

The spelling of 115441142992 in words is "one hundred fifteen billion, four hundred forty-one million, one hundred forty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 509 602 688 1018 1204 2036 2408 3563 4072 4816 7126 8144 14252 21887 28504 43774 47093 57008 87548 94186 153209 175096 188372 306418 329651 350192 376744 612836 659302 753488 1225672 1318604 2024999 2451344 2637208 4049998 5274416 8099996 14174993 16199992 23970337 28349986 32399984 47940674 56699972 95881348 113399944 167792359 191762696 226799888 335584718 383525392 671169436 1030724491 1342338872 2061448982 2684677744 4122897964 7215071437 8245795928 14430142874 16491591856 28860285748 57720571496 115441142992