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30220122402432 = 273259444622799
BaseRepresentation
bin1101101111100001010111…
…01010010010111010000000
310222000000102021211101210200
412313300223222102322000
512430111302313334212
6144134533234125200
76236221543055424
oct667605352227200
9128000367741720
1030220122402432
1196a1311294006
123480a41a20800
1313b298c5c1611
14766939ad6b84
15376164ae66dc
hex1b7c2ba92e80

30220122402432 has 96 divisors (see below), whose sum is σ = 88435474920000. Its totient is φ = 9902638957056.

The previous prime is 30220122402413. The next prime is 30220122402469. The reversal of 30220122402432 is 23420422102203.

30220122402432 is a `hidden beast` number, since 3 + 0 + 2 + 2 + 0 + 1 + 224 + 0 + 2 + 432 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 30220122402396 and 30220122402405.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222243432 + ... + 222379367.

It is an arithmetic number, because the mean of its divisors is an integer number (921202863750).

Almost surely, 230220122402432 is an apocalyptic number.

30220122402432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30220122402432 is an abundant number, since it is smaller than the sum of its proper divisors (58215352517568).

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

30220122402432 is a wasteful number, since it uses less digits than its factorization.

30220122402432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444622878 (or 444622863 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 30220122402432 its reverse (23420422102203), we get a palindrome (53640544504635).

The spelling of 30220122402432 in words is "thirty trillion, two hundred twenty billion, one hundred twenty-two million, four hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 288 354 384 472 531 576 708 944 1062 1152 1416 1888 2124 2832 3776 4248 5664 7552 8496 11328 16992 22656 33984 67968 444622799 889245598 1333868397 1778491196 2667736794 3556982392 4001605191 5335473588 7113964784 8003210382 10670947176 14227929568 16006420764 21341894352 26232745141 28455859136 32012841528 42683788704 52465490282 56911718272 64025683056 78698235423 85367577408 104930980564 128051366112 157396470846 170735154816 209861961128 236094706269 256102732224 314792941692 419723922256 472189412538 512205464448 629585883384 839447844512 944378825076 1259171766768 1678895689024 1888757650152 2518343533536 3357791378048 3777515300304 5036687067072 7555030600608 10073374134144 15110061201216 30220122402432