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114666523040 = 25519137275323
BaseRepresentation
bin110101011001010101…
…0000100100110100000
3101221222022021220112202
41222302222010212200
53334314112214130
6124402125312332
711166354235616
oct1526252044640
9357868256482
10114666523040
11446a2298a23
121a2817056a8
13aa75239244
14579ac796b6
152eb1b2b145
hex1ab2a849a0

114666523040 has 96 divisors (see below), whose sum is σ = 287240022720. Its totient is φ = 43135248384.

The previous prime is 114666523003. The next prime is 114666523043. The reversal of 114666523040 is 40325666411.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 114666522985 and 114666523003.

It is not an unprimeable number, because it can be changed into a prime (114666523043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278819 + ... + 554141.

It is an arithmetic number, because the mean of its divisors is an integer number (2992083570).

Almost surely, 2114666523040 is an apocalyptic number.

114666523040 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 114666523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143620011360).

114666523040 is an abundant number, since it is smaller than the sum of its proper divisors (172573499680).

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

114666523040 is a wasteful number, since it uses less digits than its factorization.

114666523040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275494 (or 275486 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 114666523040 in words is "one hundred fourteen billion, six hundred sixty-six million, five hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 137 152 160 190 274 304 380 548 608 685 760 1096 1370 1520 2192 2603 2740 3040 4384 5206 5480 10412 10960 13015 20824 21920 26030 41648 52060 83296 104120 208240 275323 416480 550646 1101292 1376615 2202584 2753230 4405168 5231137 5506460 8810336 10462274 11012920 20924548 22025840 26155685 37719251 41849096 44051680 52311370 75438502 83698192 104622740 150877004 167396384 188596255 209245480 301754008 377192510 418490960 603508016 716665769 754385020 836981920 1207016032 1433331538 1508770040 2866663076 3017540080 3583328845 5733326152 6035080160 7166657690 11466652304 14333315380 22933304608 28666630760 57333261520 114666523040