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114061142728 = 231317477119333
BaseRepresentation
bin110101000111010010…
…0101110101011001000
3101220102010011101212201
41222032210232223020
53332044123031403
6124222102045544
711145353500501
oct1521644565310
9356363141781
10114061142728
11444115a5815
121a132a198b4
13a9a99a8740
1457406d1ba8
152e788e921d
hex1a8e92eac8

114061142728 has 128 divisors (see below), whose sum is σ = 252573189120. Its totient is φ = 47807262720.

The previous prime is 114061142687. The next prime is 114061142729. The reversal of 114061142728 is 827241160411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114061142729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5890150 + ... + 5909482.

It is an arithmetic number, because the mean of its divisors is an integer number (1973228040).

Almost surely, 2114061142728 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 114061142728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126286594560).

114061142728 is an abundant number, since it is smaller than the sum of its proper divisors (138512046392).

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

114061142728 is a wasteful number, since it uses less digits than its factorization.

114061142728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19487 (or 19483 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The spelling of 114061142728 in words is "one hundred fourteen billion, sixty-one million, one hundred forty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 17 26 34 47 52 68 71 94 104 136 142 188 221 284 376 442 568 611 799 884 923 1207 1222 1598 1768 1846 2414 2444 3196 3337 3692 4828 4888 6392 6674 7384 9656 10387 13348 15691 19333 20774 26696 31382 38666 41548 43381 56729 62764 77332 83096 86762 113458 125528 154664 173524 226916 251329 328661 347048 453832 502658 657322 737477 908651 1005316 1314644 1372643 1474954 1817302 2010632 2629288 2745286 2949908 3634604 4272593 5490572 5899816 7269208 8545186 10981144 11812463 15447067 17090372 17844359 23334931 23624926 30894134 34180744 35688718 46669862 47249852 61788268 64514221 71377436 93339724 94499704 123576536 129028442 142754872 186679448 200811871 258056884 303354103 401623742 516113768 606708206 803247484 838684873 1096741757 1213416412 1606494968 1677369746 2193483514 2426832824 3354739492 4386967028 6709478984 8773934056 14257642841 28515285682 57030571364 114061142728