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344434004204131 = 4797694710875247
BaseRepresentation
bin100111001010000101100101…
…0011110000001101001100011
31200011112120100222001012220101
41032110023022132001221203
5330121201320034013011
63220314444102523231
7132356351466443302
oct11624131236015143
91604476328035811
10344434004204131
119a824705aa73a6
123276974b136517
1311a25caac3258a
14610a9a2588439
1529c47bb35e2c1
hex13942ca781a63

344434004204131 has 16 divisors (see below), whose sum is σ = 355439993481216. Its totient is φ = 333582249689856.

The previous prime is 344434004204077. The next prime is 344434004204159. The reversal of 344434004204131 is 131402400434443.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 344434004204131 - 211 = 344434004202083 is a prime.

It is a super-2 number, since 2×3444340042041312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344434004204231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26233750 + ... + 37108996.

It is an arithmetic number, because the mean of its divisors is an integer number (22214999592576).

Almost surely, 2344434004204131 is an apocalyptic number.

344434004204131 is a deficient number, since it is larger than the sum of its proper divisors (11005989277085).

344434004204131 is a wasteful number, since it uses less digits than its factorization.

344434004204131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10882338.

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 344434004204131 its reverse (131402400434443), we get a palindrome (475836404638574).

The spelling of 344434004204131 in words is "three hundred forty-four trillion, four hundred thirty-four billion, four million, two hundred four thousand, one hundred thirty-one".

Divisors: 1 47 97 4559 6947 326509 673859 10875247 31671373 511136609 1054898959 49580251073 75550340909 3550866022723 7328383068173 344434004204131