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404213421440 = 275715188321
BaseRepresentation
bin1011110000111001111…
…11110101010110000000
31102122100022212100121202
411320130333311112000
523110312113441230
6505405412240332
741126533251353
oct5703477652600
91378308770552
10404213421440
11146475a36284
126640a3100a8
132c16a53601a
14157c79d029a
15a7ab779a45
hex5e1cff5580

404213421440 has 64 divisors (see below), whose sum is σ = 966468784320. Its totient is φ = 161660928000.

The previous prime is 404213421413. The next prime is 404213421449. The reversal of 404213421440 is 44124312404.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404213421449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4532480 + ... + 4620800.

It is an arithmetic number, because the mean of its divisors is an integer number (15101074755).

Almost surely, 2404213421440 is an apocalyptic number.

404213421440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404213421440 is an abundant number, since it is smaller than the sum of its proper divisors (562255362880).

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

404213421440 is an equidigital number, since it uses as much as digits as its factorization.

404213421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95491 (or 95479 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 404213421440 its reverse (44124312404), we get a palindrome (448337733844).

The spelling of 404213421440 in words is "four hundred four billion, two hundred thirteen million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 7151 14302 28604 35755 57208 71510 88321 114416 143020 176642 228832 286040 353284 441605 457664 572080 706568 883210 915328 1144160 1413136 1766420 2288320 2826272 3532840 4576640 5652544 7065680 11305088 14131360 28262720 56525440 631583471 1263166942 2526333884 3157917355 5052667768 6315834710 10105335536 12631669420 20210671072 25263338840 40421342144 50526677680 80842684288 101053355360 202106710720 404213421440