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444201303429 = 3513178271443
BaseRepresentation
bin1100111011011000111…
…01011111110110000101
31120110120011010020100000
412131230131133312011
524234211013202204
6540021355311513
744043502531602
oct6355435376605
91513504106300
10444201303429
11161426067934
127210a14b599
1332b70c34960
14176dc7256a9
15b84c16b039
hex676c75fd85

444201303429 has 48 divisors (see below), whose sum is σ = 758723015232. Its totient is φ = 257274931968.

The previous prime is 444201303397. The next prime is 444201303443. The reversal of 444201303429 is 924303102444.

444201303429 is a `hidden beast` number, since 444 + 201 + 3 + 0 + 3 + 4 + 2 + 9 = 666.

It is not a de Polignac number, because 444201303429 - 25 = 444201303397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 444201303393 and 444201303402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444201303479) 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, 4082019 + ... + 4189424.

It is an arithmetic number, because the mean of its divisors is an integer number (15806729484).

Almost surely, 2444201303429 is an apocalyptic number.

It is an amenable number.

444201303429 is a deficient number, since it is larger than the sum of its proper divisors (314521711803).

444201303429 is a wasteful number, since it uses less digits than its factorization.

444201303429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8271488 (or 8271476 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 444201303429 in words is "four hundred forty-four billion, two hundred one million, three hundred three thousand, four hundred twenty-nine".

Divisors: 1 3 9 13 17 27 39 51 81 117 153 221 243 351 459 663 1053 1377 1989 3159 4131 5967 17901 53703 8271443 24814329 74442987 107528759 140614531 223328961 322586277 421843593 669986883 967758831 1265530779 1827988903 2009960649 2903276493 3796592337 5483966709 8709829479 11389777011 16451900127 26129488437 34169331033 49355700381 148067101143 444201303429