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444444434031 = 31329597193809
BaseRepresentation
bin1100111011110101111…
…00111101111001101111
31120111012002121112211010
412131322330331321233
524240210233342111
6540101442400303
744052514233303
oct6357274757157
91514162545733
10444444434031
11161540329514
1272177660093
1332bac410710
1417722b33d03
15b863694aa6
hex677af3de6f

444444434031 has 64 divisors (see below), whose sum is σ = 680835456000. Its totient is φ = 255938242560.

The previous prime is 444444434003. The next prime is 444444434039. The reversal of 444444434031 is 130434444444.

It is not a de Polignac number, because 444444434031 - 213 = 444444425839 is a prime.

It is a super-2 number, since 2×4444444340312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444444434039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4690855 + ... + 4784663.

It is an arithmetic number, because the mean of its divisors is an integer number (10638054000).

Almost surely, 2444444434031 is an apocalyptic number.

444444434031 is a deficient number, since it is larger than the sum of its proper divisors (236391021969).

444444434031 is a wasteful number, since it uses less digits than its factorization.

444444434031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93984.

The product of its (nonzero) digits is 589824, while the sum is 39.

Adding to 444444434031 its reverse (130434444444), we get a palindrome (574878878475).

It can be divided in two parts, 444444 and 434031, that added together give a triangular number (878475 = T1325).

The spelling of 444444434031 in words is "four hundred forty-four billion, four hundred forty-four million, four hundred thirty-four thousand, thirty-one".

Divisors: 1 3 13 29 39 59 71 87 177 213 377 767 923 1131 1711 2059 2301 2769 4189 5133 6177 12567 22243 26767 54457 66729 80301 93809 121481 163371 281427 364443 1219517 1579253 2720461 3658551 4737759 5534731 6660439 8161383 16604193 19981317 35365993 71951503 86585707 106097979 160507199 193152731 215854509 259757121 392965901 481521597 579458193 1178897703 2086593587 2510985503 5108556713 6259780761 7532956509 11396011129 15325670139 34188033387 148148144677 444444434031