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3414104102040 = 233572953389989
BaseRepresentation
bin110001101011101000011…
…101100101010010011000
3110002101101210012021011120
4301223220131211102120
5421414041122231130
611132230123325240
7501442453022112
oct61535035452230
913071353167146
103414104102040
1110a6a0583a755
12471814680820
131b9c441c8a48
14bb35a3103b2
155dc1e485910
hex31ae8765498

3414104102040 has 64 divisors (see below), whose sum is σ = 10242478965600. Its totient is φ = 910412946432.

The previous prime is 3414104102021. The next prime is 3414104102069. The reversal of 3414104102040 is 402014014143.

It is a super-2 number, since 2×34141041020402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3414104102040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8559366 + ... + 8949354.

Almost surely, 23414104102040 is an apocalyptic number.

3414104102040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3414104102040 is an abundant number, since it is smaller than the sum of its proper divisors (6828374863560).

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

3414104102040 is a wasteful number, since it uses less digits than its factorization.

3414104102040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462956 (or 462952 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 3414104102040 its reverse (402014014143), we get a palindrome (3816118116183).

The spelling of 3414104102040 in words is "three trillion, four hundred fourteen billion, one hundred four million, one hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 72953 145906 218859 291812 364765 389989 437718 583624 729530 779978 875436 1094295 1169967 1459060 1559956 1750872 1949945 2188590 2339934 2918120 3119912 3899890 4377180 4679868 5849835 7799780 8754360 9359736 11699670 15599560 23399340 46798680 28450867517 56901735034 85352602551 113803470068 142254337585 170705205102 227606940136 284508675170 341410410204 426763012755 569017350340 682820820408 853526025510 1138034700680 1707052051020 3414104102040