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3407949104441 = 7191011699149323
BaseRepresentation
bin110001100101111001100…
…110001000010100111001
3110001210111211110222202112
4301211321212020110321
5421313434432320231
611125331252342105
7501134104300520
oct61457146102471
913053454428675
103407949104441
1110a4337473982
12470597314935
131b94a2ca142b
14bad34ab54b7
155d9ade3292b
hex31979988539

3407949104441 has 32 divisors (see below), whose sum is σ = 4142845056000. Its totient is φ = 2738326564800.

The previous prime is 3407949104423. The next prime is 3407949104473. The reversal of 3407949104441 is 1444019497043.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 3407949104441 - 222 = 3407944910137 is a prime.

It is a super-2 number, since 2×34079491044412 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3407949104441.

It is not an unprimeable number, because it can be changed into a prime (3407949104141) 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, 22748006 + ... + 22897328.

It is an arithmetic number, because the mean of its divisors is an integer number (129463908000).

Almost surely, 23407949104441 is an apocalyptic number.

It is an amenable number.

3407949104441 is a deficient number, since it is larger than the sum of its proper divisors (734895951559).

3407949104441 is a wasteful number, since it uses less digits than its factorization.

3407949104441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151149.

The product of its (nonzero) digits is 1741824, while the sum is 50.

The spelling of 3407949104441 in words is "three trillion, four hundred seven billion, nine hundred forty-nine million, one hundred four thousand, four hundred forty-one".

Divisors: 1 7 19 101 133 707 1699 1919 11893 13433 32281 149323 171599 225967 1045261 1201193 2837137 3260381 15081623 19859959 22822667 105571361 253699777 286550837 1775898439 2005855859 4820295763 25623677477 33742070341 179365742339 486849872063 3407949104441