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314224212420 = 2232513883125743
BaseRepresentation
bin1001001001010010011…
…10001111100111000100
31010001001211021212221100
410210221032033213010
520122012344244140
6400204055220100
731462524510366
oct4445116174704
91101054255840
10314224212420
11111297415658
1250a95077630
1323828a21651
14112cc300d36
158291330530
hex492938f9c4

314224212420 has 72 divisors (see below), whose sum is σ = 953223014016. Its totient is φ = 83786421312.

The previous prime is 314224212409. The next prime is 314224212437. The reversal of 314224212420 is 24212422413.

It is a happy number.

314224212420 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 24 + 212 + 420 = 666.

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, 2436069 + ... + 2561811.

It is an arithmetic number, because the mean of its divisors is an integer number (13239208528).

Almost surely, 2314224212420 is an apocalyptic number.

314224212420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314224212420 is an abundant number, since it is smaller than the sum of its proper divisors (638998801596).

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

314224212420 is a wasteful number, since it uses less digits than its factorization.

314224212420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139641 (or 139636 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 314224212420 its reverse (24212422413), we get a palindrome (338436634833).

The spelling of 314224212420 in words is "three hundred fourteen billion, two hundred twenty-four million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 13883 27766 41649 55532 69415 83298 124947 125743 138830 166596 208245 249894 251486 277660 377229 416490 499788 502972 624735 628715 754458 832980 1131687 1249470 1257430 1508916 1886145 2263374 2498940 2514860 3772290 4526748 5658435 7544580 11316870 22633740 1745690069 3491380138 5237070207 6982760276 8728450345 10474140414 15711210621 17456900690 20948280828 26185351035 31422421242 34913801380 52370702070 62844842484 78556053105 104741404140 157112106210 314224212420