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114260389376 = 297194673593
BaseRepresentation
bin110101001101001110…
…0110010111000000000
3101220221000002011220012
41222122130302320000
53333001124430001
6124253540404052
711153323166510
oct1523234627000
9356830064805
10114260389376
1144504013771
121a1896a6628
13aa0c05ab73
14575cd59840
152e8b1552bb
hex1a9a732e00

114260389376 has 160 divisors (see below), whose sum is σ = 275308450560. Its totient is φ = 46279213056.

The previous prime is 114260389343. The next prime is 114260389429. The reversal of 114260389376 is 673983062411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31799036 + ... + 31802628.

It is an arithmetic number, because the mean of its divisors is an integer number (1720677816).

Almost surely, 2114260389376 is an apocalyptic number.

114260389376 is a gapful number since it is divisible by the number (16) 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 114260389376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137654225280).

114260389376 is an abundant number, since it is smaller than the sum of its proper divisors (161048061184).

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

114260389376 is an equidigital number, since it uses as much as digits as its factorization.

114260389376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4104 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 50.

The spelling of 114260389376 in words is "one hundred fourteen billion, two hundred sixty million, three hundred eighty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 467 512 532 608 896 934 1064 1216 1792 1868 2128 2432 3269 3584 3593 3736 4256 4864 6538 7186 7472 8512 8873 9728 13076 14372 14944 17024 17746 25151 26152 28744 29888 34048 35492 50302 52304 57488 59776 62111 68096 68267 70984 100604 104608 114976 119552 124222 136534 141968 201208 209216 229952 239104 248444 273068 283936 402416 418432 459904 477869 496888 546136 567872 804832 836864 919808 955738 993776 1092272 1135744 1609664 1673728 1677931 1839616 1911476 1987552 2184544 2271488 3219328 3355862 3822952 3975104 4369088 4542976 6438656 6711724 7645904 7950208 8738176 11745517 12877312 13423448 15291808 15900416 17476352 23491034 26846896 30583616 31800832 31880689 34952704 46982068 53693792 61167232 63761378 93964136 107387584 122334464 127522756 187928272 214775168 223164823 244668928 255045512 375856544 429550336 446329646 510091024 751713088 859100672 892659292 1020182048 1503426176 1785318584 2040364096 3006852352 3570637168 4080728192 6013704704 7141274336 8161456384 14282548672 16322912768 28565097344 57130194688 114260389376