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404222130144414 = 232503301114827531
BaseRepresentation
bin101101111101000110100110…
…0011110100100010010011110
31222000020020222021000022121200
41123322031030132210102132
5410440233410304110124
63551413025532540330
7151100041132003101
oct13372151436442236
91860206867008550
10404222130144414
1110788570846550a
1239404b596216a6
1314471ca2453a5a
1471b6653c06738
1531aeb2a2e7bc9
hex16fa34c7a449e

404222130144414 has 48 divisors (see below), whose sum is σ = 877847306603904. Its totient is φ = 134428166283600.

The previous prime is 404222130144379. The next prime is 404222130144491. The reversal of 404222130144414 is 414441031222404.

404222130144414 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 221 + 3 + 0 + 14 + 4 + 414 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19847829 + ... + 34675359.

It is an arithmetic number, because the mean of its divisors is an integer number (18288485554248).

Almost surely, 2404222130144414 is an apocalyptic number.

404222130144414 is an abundant number, since it is smaller than the sum of its proper divisors (473625176459490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404222130144414 is a wasteful number, since it uses less digits than its factorization.

404222130144414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14831053 (or 14831050 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 404222130144414 its reverse (414441031222404), we get a palindrome (818663161366818).

The spelling of 404222130144414 in words is "four hundred four trillion, two hundred twenty-two billion, one hundred thirty million, one hundred forty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 503 1006 1509 3011 3018 4527 6022 9033 9054 18066 27099 54198 1514533 3029066 4543599 9087198 13630797 14827531 27261594 29655062 44482593 88965186 133447779 266895558 7458248093 14916496186 22374744279 44645695841 44749488558 67124232837 89291391682 133937087523 134248465674 267874175046 401811262569 803622525138 22456785008023 44913570016046 67370355024069 134740710048138 202111065072207 404222130144414