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320114041984 = 2711905925097
BaseRepresentation
bin1001010100010000100…
…10001010010010000000
31010121021022001020012001
410222020102022102000
520221043143320414
6403020334513344
732061503314222
oct4521022122200
91117238036161
10320114041984
1111383a0387a0
1252059665854
13242570255b9
14116ca632412
1584d8455074
hex4a8848a480

320114041984 has 64 divisors (see below), whose sum is σ = 695806912800. Its totient is φ = 145484523520.

The previous prime is 320114041981. The next prime is 320114042029. The reversal of 320114041984 is 489140411023.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3201140419842 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (320114041981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12742524 + ... + 12767620.

Almost surely, 2320114041984 is an apocalyptic number.

It is an amenable number.

320114041984 is an abundant number, since it is smaller than the sum of its proper divisors (375692870816).

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

320114041984 is a wasteful number, since it uses less digits than its factorization.

320114041984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34181 (or 34169 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 320114041984 in words is "three hundred twenty billion, one hundred fourteen million, forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 9059 18118 25097 36236 50194 72472 99649 100388 144944 199298 200776 276067 289888 398596 401552 552134 579776 797192 803104 1104268 1159552 1594384 1606208 2208536 3188768 3212416 4417072 6377536 8834144 12755072 17668288 35336576 227353723 454707446 909414892 1818829784 2500890953 3637659568 5001781906 7275319136 10003563812 14550638272 20007127624 29101276544 40014255248 80028510496 160057020992 320114041984