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114031123440 = 24351336548437
BaseRepresentation
bin110101000110011001…
…0001101101111110000
3101220100000200021011020
41222030302031233300
53332013431422230
6124215110415440
711144540361633
oct1521462155760
9356300607136
10114031123440
11443a6661893
121a124961580
13a9a36c7a50
14573a719c1a
152e75e69810
hex1a8cc8dbf0

114031123440 has 80 divisors (see below), whose sum is σ = 380688530208. Its totient is φ = 28069198848.

The previous prime is 114031123439. The next prime is 114031123441. The reversal of 114031123440 is 44321130411.

It is an interprime number because it is at equal distance from previous prime (114031123439) and next prime (114031123441).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1140311234402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 114031123440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114031123441) 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, 18271099 + ... + 18277338.

Almost surely, 2114031123440 is an apocalyptic number.

114031123440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114031123440 is an abundant number, since it is smaller than the sum of its proper divisors (266657406768).

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

114031123440 is a wasteful number, since it uses less digits than its factorization.

114031123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36548466 (or 36548460 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 114031123440 its reverse (44321130411), we get a palindrome (158352253851).

The spelling of 114031123440 in words is "one hundred fourteen billion, thirty-one million, one hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 36548437 73096874 109645311 146193748 182742185 219290622 292387496 365484370 438581244 475129681 548226555 584774992 730968740 877162488 950259362 1096453110 1425389043 1461937480 1754324976 1900518724 2192906220 2375648405 2850778086 2923874960 3801037448 4385812440 4751296810 5701556172 7126945215 7602074896 8771624880 9502593620 11403112344 14253890430 19005187240 22806224688 28507780860 38010374480 57015561720 114031123440