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400223555544420 = 223259292393395261
BaseRepresentation
bin101101100000000000100111…
…0110110111110010101100100
31221111001222221201110102220100
41123000001032312332111210
5404424230320204410140
63535112055130104100
7150205124542462056
oct13300011666762544
91844058851412810
10400223555544420
11106583947330a83
1238a7a00ab7b030
1314241bc4a5b09a
1470b8ccdd0b8d6
153140aee54d530
hex16c004edbe564

400223555544420 has 72 divisors (see below), whose sum is σ = 1215318246138360. Its totient is φ = 106611398461440.

The previous prime is 400223555544419. The next prime is 400223555544511. The reversal of 400223555544420 is 24445555322004.

400223555544420 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 2 + 3 + 55 + 554 + 4 + 42 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15247135038564 + 384976420505856 = 3904758^2 + 19620816^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1196530411 + ... + 1196864850.

It is an arithmetic number, because the mean of its divisors is an integer number (16879420085255).

Almost surely, 2400223555544420 is an apocalyptic number.

It is an amenable number.

400223555544420 is an abundant number, since it is smaller than the sum of its proper divisors (815094690593940).

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

400223555544420 is a wasteful number, since it uses less digits than its factorization.

400223555544420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393396205 (or 2393396200 counting only the distinct ones).

The product of its (nonzero) digits is 3840000, while the sum is 45.

The spelling of 400223555544420 in words is "four hundred trillion, two hundred twenty-three billion, five hundred fifty-five million, five hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 929 1858 2787 3716 4645 5574 8361 9290 11148 13935 16722 18580 27870 33444 41805 55740 83610 167220 2393395261 4786790522 7180185783 9573581044 11966976305 14360371566 21540557349 23933952610 28720743132 35900928915 43081114698 47867905220 71801857830 86162229396 107702786745 143603715660 215405573490 430811146980 2223464197469 4446928394938 6670392592407 8893856789876 11117320987345 13340785184814 20011177777221 22234641974690 26681570369628 33351962962035 40022355554442 44469283949380 66703925924070 80044711108884 100055888886105 133407851848140 200111777772210 400223555544420