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405055411320 = 233572320965601
BaseRepresentation
bin1011110010011110010…
…11110001010001111000
31102201112000012212121010
411321033023301101320
523114023141130240
6510025131113520
741156436121350
oct5711713612170
91381460185533
10405055411320
1114686824678a
12666042a28a0
132c272acb3a1
1415867769b60
15a80a648280
hex5e4f2f1478

405055411320 has 128 divisors (see below), whose sum is σ = 1449142410240. Its totient is φ = 88558694400.

The previous prime is 405055411301. The next prime is 405055411331. The reversal of 405055411320 is 23114550504.

It is a super-2 number, since 2×4050554113202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10463481 + ... + 10502120.

It is an arithmetic number, because the mean of its divisors is an integer number (11321425080).

Almost surely, 2405055411320 is an apocalyptic number.

405055411320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405055411320 is an abundant number, since it is smaller than the sum of its proper divisors (1044086998920).

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

405055411320 is a wasteful number, since it uses less digits than its factorization.

405055411320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20965645 (or 20965641 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 405055411320 its reverse (23114550504), we get a palindrome (428169961824).

The spelling of 405055411320 in words is "four hundred five billion, fifty-five million, four hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 322 345 420 460 483 552 644 690 805 840 920 966 1288 1380 1610 1932 2415 2760 3220 3864 4830 6440 9660 19320 20965601 41931202 62896803 83862404 104828005 125793606 146759207 167724808 209656010 251587212 293518414 314484015 419312020 440277621 482208823 503174424 587036828 628968030 733796035 838624040 880555242 964417646 1174073656 1257936060 1446626469 1467592070 1761110484 1928835292 2201388105 2411044115 2515872120 2893252938 2935184140 3375461761 3522220968 3857670584 4402776210 4822088230 5786505876 5870368280 6750923522 7233132345 8805552420 9644176460 10126385283 11573011752 13501847044 14466264690 16877308805 17611104840 19288352920 20252770566 27003694088 28932529380 33754617610 40505541132 50631926415 57865058760 67509235220 81011082264 101263852830 135018470440 202527705660 405055411320