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30312230502432 = 25317118671565153
BaseRepresentation
bin1101110010001100111011…
…01110110100000000100000
310222022211011110110200110210
412321012131232310000200
512433113422002034212
6144245125122254120
76245662221023214
oct671063556640040
9128284143420423
1030312230502432
1197273879758aa
1234968687b7340
1313bb57b0a9538
1476b19698c944
1537875608a53c
hex1b919dbb4020

30312230502432 has 96 divisors (see below), whose sum is σ = 84257323440192. Its totient is φ = 9508911939584.

The previous prime is 30312230502431. The next prime is 30312230502439. The reversal of 30312230502432 is 23420503221303.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 30312230502432.

It is not an unprimeable number, because it can be changed into a prime (30312230502431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18584368 + ... + 20149520.

It is an arithmetic number, because the mean of its divisors is an integer number (877680452502).

Almost surely, 230312230502432 is an apocalyptic number.

30312230502432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30312230502432 is an abundant number, since it is smaller than the sum of its proper divisors (53945092937760).

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

30312230502432 is a wasteful number, since it uses less digits than its factorization.

30312230502432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577050 (or 1577042 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 30312230502432 its reverse (23420503221303), we get a palindrome (53732733723735).

The spelling of 30312230502432 in words is "thirty trillion, three hundred twelve billion, two hundred thirty million, five hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 11867 23734 35601 47468 71202 94936 142404 189872 201739 284808 379744 403478 569616 605217 806956 1139232 1210434 1565153 1613912 2420868 3130306 3227824 4695459 4841736 6260612 6455648 9390918 9683472 12521224 18781836 19366944 25042448 26607601 37563672 50084896 53215202 75127344 79822803 106430404 150254688 159645606 212860808 319291212 425721616 638582424 851443232 1277164848 2554329696 18573670651 37147341302 55721011953 74294682604 111442023906 148589365208 222884047812 297178730416 315752401067 445768095624 594357460832 631504802134 891536191248 947257203201 1263009604268 1783072382496 1894514406402 2526019208536 3789028812804 5052038417072 7578057625608 10104076834144 15156115251216 30312230502432