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444071814498 = 2321312073157189
BaseRepresentation
bin1100111011001001011…
…11100010010101100010
31120110020010110111220200
412131210233202111202
524233424341030443
6540000452050030
744040341100054
oct6354457422542
91513203414820
10444071814498
11161369a64994
1272092903916
1332b501679a0
14176c94598d4
15b840adddd3
hex6764be2562

444071814498 has 48 divisors (see below), whose sum is σ = 1036259984760. Its totient is φ = 136625294592.

The previous prime is 444071814469. The next prime is 444071814499. The reversal of 444071814498 is 894418170444.

444071814498 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 71 + 81 + 4 + 498 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 169362702369 + 274709112129 = 411537^2 + 524127^2 .

It is a super-2 number, since 2×4440718144982 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444071814499) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2746488 + ... + 2903676.

Almost surely, 2444071814498 is an apocalyptic number.

444071814498 is an abundant number, since it is smaller than the sum of its proper divisors (592188170262).

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

444071814498 is a wasteful number, since it uses less digits than its factorization.

444071814498 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169283 (or 169280 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 444071814498 in words is "four hundred forty-four billion, seventy-one million, eight hundred fourteen thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 12073 24146 36219 72438 108657 156949 157189 217314 313898 314378 470847 471567 941694 943134 1412541 1414701 2043457 2825082 2829402 4086914 6130371 12260742 18391113 36782226 1897742797 3795485594 5693228391 11386456782 17079685173 24670656361 34159370346 49341312722 74011969083 148023938166 222035907249 444071814498