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404051041332249 = 32317943974519441
BaseRepresentation
bin101101111011110110111011…
…0110010100010110000011001
31221222121220100210020010222220
41123313231312302202300121
5410424433013040112444
63551202252541534253
7151051503320046333
oct13367556662426031
91858556323203886
10404051041332249
1110781a0a2274683
1239397970274389
131445bb07a6541c
1471ac263704453
1531aa4650c6619
hex16f7b76ca2c19

404051041332249 has 32 divisors (see below), whose sum is σ = 566586221414400. Its totient is φ = 255632679287040.

The previous prime is 404051041332187. The next prime is 404051041332283. The reversal of 404051041332249 is 942233140150404.

It is not a de Polignac number, because 404051041332249 - 211 = 404051041330201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 404051041332249.

It is not an unprimeable number, because it can be changed into a prime (404051041332049) 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, 31837632 + ... + 42681809.

It is an arithmetic number, because the mean of its divisors is an integer number (17705819419200).

Almost surely, 2404051041332249 is an apocalyptic number.

It is an amenable number.

404051041332249 is a deficient number, since it is larger than the sum of its proper divisors (162535180082151).

404051041332249 is a wasteful number, since it uses less digits than its factorization.

404051041332249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74520085.

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 404051041332249 in words is "four hundred four trillion, fifty-one billion, forty-one million, three hundred thirty-two thousand, two hundred forty-nine".

Divisors: 1 3 23 69 179 439 537 1317 4117 10097 12351 30291 78581 235743 1807363 5422089 74519441 223558323 1713947143 5141841429 13338979939 32714034599 40016939817 98142103797 306796538597 752422795777 920389615791 2257268387331 5855812193221 17567436579663 134683680444083 404051041332249