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730011228114 = 23731229361729
BaseRepresentation
bin10101001111110000000…
…11110101011111010010
32120210021201220202012010
422213320003311133102
543430030333244424
61315210150043350
7103512234025260
oct12477003653722
92523251822163
10730011228114
11261661341563
12b9593349556
1353abbc6389c
1427493033430
1513ec8b9d229
hexa9f80f57d2

730011228114 has 96 divisors (see below), whose sum is σ = 1730071647360. Its totient is φ = 201154268160.

The previous prime is 730011228113. The next prime is 730011228131. The reversal of 730011228114 is 411822110037.

It is not an unprimeable number, because it can be changed into a prime (730011228113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11795202 + ... + 11856930.

It is an arithmetic number, because the mean of its divisors is an integer number (18021579660).

Almost surely, 2730011228114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 730011228114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865035823680).

730011228114 is an abundant number, since it is smaller than the sum of its proper divisors (1000060419246).

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

730011228114 is a wasteful number, since it uses less digits than its factorization.

730011228114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62096 (or 62065 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The spelling of 730011228114 in words is "seven hundred thirty billion, eleven million, two hundred twenty-eight thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 293 434 586 651 879 961 1302 1758 1922 2051 2883 4102 5766 6153 6727 9083 12306 13454 18166 20181 27249 40362 54498 61729 63581 123458 127162 185187 190743 281573 370374 381486 432103 563146 844719 864206 1296309 1689438 1913599 1971011 2592618 3827198 3942022 5740797 5913033 11481594 11826066 13395193 18086597 26790386 36173194 40185579 54259791 59321569 80371158 108519582 118643138 126606179 177964707 253212358 355929414 379818537 415250983 560684507 759637074 830501966 1121369014 1245752949 1682053521 2491505898 3364107042 3924791549 7849583098 11774374647 17381219717 23548749294 34762439434 52143659151 104287318302 121668538019 243337076038 365005614057 730011228114