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30432312402414 = 231347107593130829
BaseRepresentation
bin1101110101101100100110…
…01010111010000111101110
310222202022010011202020121220
412322312103022322013232
512442100333433334124
6144420224502204210
76260443033234116
oct672662312720756
9128668104666556
1030432312402414
1197732a8a8965a
1234b5b9ba23666
1313c99a723aa20
14772d08b34046
1537b93331c879
hex1bad932ba1ee

30432312402414 has 128 divisors (see below), whose sum is σ = 67681201674240. Its totient is φ = 9063529396224.

The previous prime is 30432312402409. The next prime is 30432312402511. The reversal of 30432312402414 is 41420421323403.

It is a super-2 number, since 2×304323124024142 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 232545952 + ... + 232676780.

It is an arithmetic number, because the mean of its divisors is an integer number (528759388080).

Almost surely, 230432312402414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30432312402414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33840600837120).

30432312402414 is an abundant number, since it is smaller than the sum of its proper divisors (37248889271826).

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

30432312402414 is a wasteful number, since it uses less digits than its factorization.

30432312402414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131594.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 30432312402414 its reverse (41420421323403), we get a palindrome (71852733725817).

The spelling of 30432312402414 in words is "thirty trillion, four hundred thirty-two billion, three hundred twelve million, four hundred two thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 39 47 78 94 107 141 214 282 321 593 611 642 1186 1222 1391 1779 1833 2782 3558 3666 4173 5029 7709 8346 10058 15087 15418 23127 27871 30174 46254 55742 63451 65377 83613 126902 130754 130829 167226 190353 196131 261658 362323 380706 392262 392487 724646 784974 824863 1086969 1649726 1700777 2173938 2474589 2982197 3401554 4949178 5102331 5964394 6148963 8946591 10204662 12297926 13998703 17893182 18446889 27997406 36893778 38768561 41996109 77537122 77581597 79936519 83992218 116305683 155163194 159873038 181983139 232611366 232744791 239809557 363966278 465489582 479619114 545949417 657939041 1008560761 1091898834 1315878082 1973817123 2017121522 3025682283 3646335059 3947634246 6051364566 7292670118 8301230879 8553207533 10939005177 16602461758 17106415066 21878010354 24903692637 25659622599 47402355767 49807385274 51319245198 94804711534 107916001427 142207067301 215832002854 284414134602 323748004281 390157851313 647496008562 780315702626 1170473553939 2340947107878 5072052067069 10144104134138 15216156201207 30432312402414