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114286640248 = 231121718313793
BaseRepresentation
bin110101001110000000…
…0111011110001111000
3101220222211110212022201
41222130000323301320
53333024334441443
6124300315155544
711154062261614
oct1523400736170
9356884425281
10114286640248
1144517913400
121a196445bb4
13aa1461c521
145762630344
152e8d5dd34d
hex1a9c03bc78

114286640248 has 96 divisors (see below), whose sum is σ = 249596333280. Its totient is φ = 48853094400.

The previous prime is 114286640233. The next prime is 114286640263. The reversal of 114286640248 is 842046682411.

It is an interprime number because it is at equal distance from previous prime (114286640233) and next prime (114286640263).

It is a super-2 number, since 2×1142866402482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114286640198 and 114286640207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30129040 + ... + 30132832.

It is an arithmetic number, because the mean of its divisors is an integer number (2599961805).

Almost surely, 2114286640248 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 114286640248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124798166640).

114286640248 is an abundant number, since it is smaller than the sum of its proper divisors (135309693032).

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

114286640248 is a wasteful number, since it uses less digits than its factorization.

114286640248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5669 (or 5654 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 46.

The spelling of 114286640248 in words is "one hundred fourteen billion, two hundred eighty-six million, six hundred forty thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 484 748 968 1496 1831 2057 3662 3793 4114 7324 7586 8228 14648 15172 16456 20141 30344 31127 40282 41723 62254 64481 80564 83446 124508 128962 161128 166892 221551 249016 257924 333784 342397 443102 458953 515848 684794 709291 886204 917906 1369588 1418582 1772408 1835812 2739176 2837164 3671624 3766367 5674328 6944983 7532734 7802201 13889966 15065468 15604402 27779932 30130936 31208804 55559864 62417608 76394813 118064711 152789626 236129422 305579252 472258844 611158504 840342943 944517688 1298711821 1680685886 2597423642 3361371772 5194847284 6722743544 10389694568 14285830031 28571660062 57143320124 114286640248