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330121420272 = 24327180972
BaseRepresentation
bin1001100110111001100…
…01010001110111110000
31011120002201200201102100
410303130301101313300
520402042040422042
6411353343420400
732564500526220
oct4633461216760
91146081621370
10330121420272
11118004a32166
1253b90bb4700
13251903c7207
1411d99756080
1588c1cbe24c
hex4cdcc51df0

330121420272 has 90 divisors (see below), whose sum is σ = 1055922890568. Its totient is φ = 94315193856.

The previous prime is 330121420219. The next prime is 330121420273. The reversal of 330121420272 is 272024121033.

330121420272 is a `hidden beast` number, since 330 + 1 + 21 + 42 + 0 + 272 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330121420273) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18232728 + ... + 18250824.

Almost surely, 2330121420272 is an apocalyptic number.

It is an amenable number.

330121420272 is an abundant number, since it is smaller than the sum of its proper divisors (725801470296).

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

330121420272 is an frugal number, since it uses more digits than its factorization.

330121420272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36215 (or 18109 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 330121420272 in words is "three hundred thirty billion, one hundred twenty-one million, four hundred twenty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 18097 36194 54291 72388 108582 126679 144776 162873 217164 253358 289552 325746 380037 434328 506716 651492 760074 868656 1013432 1140111 1302984 1520148 2026864 2280222 2605968 3040296 4560444 6080592 9120888 18241776 327501409 655002818 982504227 1310005636 1965008454 2292509863 2620011272 2947512681 3930016908 4585019726 5240022544 5895025362 6877529589 7860033816 9170039452 11790050724 13755059178 15720067632 18340078904 20632588767 23580101448 27510118356 36680157808 41265177534 47160202896 55020236712 82530355068 110040473424 165060710136 330121420272