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114044065720 = 235132317415477
BaseRepresentation
bin110101000110110001…
…1100101011110111000
3101220100221000210121221
41222031203211132320
53332030240100340
6124220252041424
711145055364344
oct1521543453670
9356327023557
10114044065720
11444029a1592
121a129163274
13a9a62a98c0
14573c328624
152e7717444a
hex1a8d8e57b8

114044065720 has 128 divisors (see below), whose sum is σ = 288570522240. Its totient is φ = 40247285760.

The previous prime is 114044065631. The next prime is 114044065727. The reversal of 114044065720 is 27560440411.

114044065720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114044065727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20819622 + ... + 20825098.

It is an arithmetic number, because the mean of its divisors is an integer number (2254457205).

Almost surely, 2114044065720 is an apocalyptic number.

114044065720 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 114044065720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144285261120).

114044065720 is an abundant number, since it is smaller than the sum of its proper divisors (174526456520).

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

114044065720 is a wasteful number, since it uses less digits than its factorization.

114044065720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7265 (or 7261 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 114044065720 in words is "one hundred fourteen billion, forty-four million, sixty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 598 920 1196 1495 1741 2392 2990 3482 5477 5980 6964 8705 10954 11960 13928 17410 21908 22633 27385 34820 40043 43816 45266 54770 69640 71201 80086 90532 109540 113165 125971 142402 160172 181064 200215 219080 226330 251942 284804 320344 356005 400430 452660 503884 520559 569608 629855 712010 800860 905320 1007768 1041118 1259710 1424020 1601720 1637623 2082236 2519420 2602795 2848040 3275246 4164472 5038840 5205590 6550492 8188115 9535457 10411180 13100984 16376230 19070914 20822360 32752460 38141828 47677285 65504920 76283656 95354570 123960941 190709140 219315511 247921882 381418280 438631022 495843764 619804705 877262044 991687528 1096577555 1239609410 1754524088 2193155110 2479218820 2851101643 4386310220 4958437640 5702203286 8772620440 11404406572 14255508215 22808813144 28511016430 57022032860 114044065720