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331344115104 = 2534363379103
BaseRepresentation
bin1001101001001011010…
…01011111010110100000
31011200020221102001102010
410310211221133112200
520412043043140404
6412114542152520
732640005336202
oct4644551372640
91150227361363
10331344115104
11118582129962
1254272582740
1325326806592
1412073cb2772
1589442de189
hex4d25a5f5a0

331344115104 has 48 divisors (see below), whose sum is σ = 869809231872. Its totient is φ = 110444110848.

The previous prime is 331344115099. The next prime is 331344115129. The reversal of 331344115104 is 401511443133.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3313441151042 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4149217 + ... + 4228319.

It is an arithmetic number, because the mean of its divisors is an integer number (18121025664).

Almost surely, 2331344115104 is an apocalyptic number.

It is an amenable number.

331344115104 is an abundant number, since it is smaller than the sum of its proper divisors (538465116768).

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

331344115104 is a wasteful number, since it uses less digits than its factorization.

331344115104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122749 (or 122741 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 331344115104 its reverse (401511443133), we get a palindrome (732855558237).

The spelling of 331344115104 in words is "three hundred thirty-one billion, three hundred forty-four million, one hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 43633 79103 87266 130899 158206 174532 237309 261798 316412 349064 474618 523596 632824 698128 949236 1047192 1265648 1396256 1898472 2094384 2531296 3796944 4188768 7593888 3451501199 6903002398 10354503597 13806004796 20709007194 27612009592 41418014388 55224019184 82836028776 110448038368 165672057552 331344115104