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331031214412409 = 7273220342008339
BaseRepresentation
bin100101101000100100011010…
…1111100011101001001111001
31121102002021102111111012211202
41023101020311330131021321
5321342103411342144114
63132013350203103545
7126504134042100200
oct11321106574351171
91542067374435752
10331031214412409
119652760562a515
1231164097b11bb5
13112931569741c4
145ba5dd3a76237
152840d3540dcde
hex12d1235f1d279

331031214412409 has 24 divisors (see below), whose sum is σ = 390529356576480. Its totient is φ = 279727137474624.

The previous prime is 331031214412337. The next prime is 331031214412427. The reversal of 331031214412409 is 904214412130133.

It is a de Polignac number, because none of the positive numbers 2k-331031214412409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331031214412489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13124039 + ... + 28884300.

It is an arithmetic number, because the mean of its divisors is an integer number (16272056524020).

Almost surely, 2331031214412409 is an apocalyptic number.

It is an amenable number.

331031214412409 is a deficient number, since it is larger than the sum of its proper divisors (59498142164071).

331031214412409 is a wasteful number, since it uses less digits than its factorization.

331031214412409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42010629 (or 42010622 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 331031214412409 in words is "three hundred thirty-one trillion, thirty-one billion, two hundred fourteen million, four hundred twelve thousand, four hundred nine".

Divisors: 1 7 49 73 511 2203 3577 15421 107947 160819 1125733 7880131 42008339 294058373 2058408611 3066608747 21466261229 92544370817 150263828603 647810595719 4534674170033 6755739069641 47290173487487 331031214412409