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114152601344 = 284741922643
BaseRepresentation
bin110101001010000000…
…1100111011100000000
3101220122111020222111212
41222110001213130000
53332241031220334
6124235130225252
711150544046625
oct1522401473400
9356574228455
10114152601344
1144459192a51
121a159585228
13a9c291b572
14574c8dc34c
152e81962ece
hex1a94067700

114152601344 has 72 divisors (see below), whose sum is σ = 233273053440. Its totient is φ = 55726128128.

The previous prime is 114152601301. The next prime is 114152601361. The reversal of 114152601344 is 443106251411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 114152601344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5030087 + ... + 5052729.

It is an arithmetic number, because the mean of its divisors is an integer number (3239903520).

Almost surely, 2114152601344 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 114152601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116636526720).

114152601344 is an abundant number, since it is smaller than the sum of its proper divisors (119120452096).

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

114152601344 is an equidigital number, since it uses as much as digits as its factorization.

114152601344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23125 (or 23111 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 114152601344 its reverse (443106251411), we get a palindrome (557258852755).

The spelling of 114152601344 in words is "one hundred fourteen billion, one hundred fifty-two million, six hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 419 752 838 1504 1676 3008 3352 6016 6704 12032 13408 19693 22643 26816 39386 45286 53632 78772 90572 107264 157544 181144 315088 362288 630176 724576 1064221 1260352 1449152 2128442 2520704 2898304 4256884 5041408 5796608 8513768 9487417 17027536 18974834 34055072 37949668 68110144 75899336 136220288 151798672 272440576 303597344 445908599 607194688 891817198 1214389376 1783634396 2428778752 3567268792 7134537584 14269075168 28538150336 57076300672 114152601344