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3405415343031 = 321373794950159
BaseRepresentation
bin110001100011100010100…
…100100110001110110111
3110001112222020202120112100
4301203202210212032313
5421243242311434111
611124232021153143
7501014236546152
oct61434244461667
913045866676470
103405415343031
1110a3257200489
1246bbaa85b7b3
131b918b080c20
14bab74396c99
155d8b1788756
hex318e29263b7

3405415343031 has 48 divisors (see below), whose sum is σ = 5370661296000. Its totient is φ = 2066631584256.

The previous prime is 3405415343027. The next prime is 3405415343039. The reversal of 3405415343031 is 1303435145043.

3405415343031 is a `hidden beast` number, since 3 + 4 + 0 + 541 + 53 + 4 + 30 + 31 = 666.

3405415343031 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3405415343031 - 22 = 3405415343027 is a prime.

It is a super-2 number, since 2×34054153430312 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405415343039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67867330 + ... + 67917488.

It is an arithmetic number, because the mean of its divisors is an integer number (111888777000).

Almost surely, 23405415343031 is an apocalyptic number.

3405415343031 is a deficient number, since it is larger than the sum of its proper divisors (1965245952969).

3405415343031 is a wasteful number, since it uses less digits than its factorization.

3405415343031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58200 (or 58197 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 3405415343031 in words is "three trillion, four hundred five billion, four hundred fifteen million, three hundred forty-three thousand, thirty-one".

Divisors: 1 3 9 13 39 73 117 219 657 949 2847 7949 8541 23847 50159 71541 103337 150477 310011 451431 580277 652067 930033 1740831 1956201 3661607 5222493 5868603 7543601 10984821 22630803 32954463 47600891 67892409 142802673 398713891 428408019 1196141673 3588425019 5183280583 15549841749 29106114043 46649525247 87318342129 261955026387 378379482559 1135138447677 3405415343031