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3320435120431 = 1113157251589231
BaseRepresentation
bin110000010100011001010…
…110110001100100101111
3102202102121211110222110111
4300110121112301210233
5413400222342323211
611021215320120451
7461615322561142
oct60243126614457
912672554428414
103320435120431
111070209075460
12457633006127
131b1167223540
14b69d2028059
155b58ae6d421
hex305195b192f

3320435120431 has 32 divisors (see below), whose sum is σ = 3941424700416. Its totient is φ = 2757596400000.

The previous prime is 3320435120393. The next prime is 3320435120489. The reversal of 3320435120431 is 1340215340233.

It is a happy number.

It is not a de Polignac number, because 3320435120431 - 29 = 3320435119919 is a prime.

It is a super-4 number, since 4×33204351204314 (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3320435120393 and 3320435120402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320435120531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5340586 + ... + 5929816.

It is an arithmetic number, because the mean of its divisors is an integer number (123169521888).

Almost surely, 23320435120431 is an apocalyptic number.

3320435120431 is a deficient number, since it is larger than the sum of its proper divisors (620989579985).

3320435120431 is a wasteful number, since it uses less digits than its factorization.

3320435120431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589663.

The product of its (nonzero) digits is 25920, while the sum is 31.

The spelling of 3320435120431 in words is "three trillion, three hundred twenty billion, four hundred thirty-five million, one hundred twenty thousand, four hundred thirty-one".

Divisors: 1 11 13 143 157 251 1727 2041 2761 3263 22451 35893 39407 433477 512291 589231 5635201 6481541 7660003 84260033 92509267 147896981 1017601937 1202620471 1626866791 1922660753 13228825181 21149268283 23219826017 255418086187 301857738221 3320435120431