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419231849423104 = 28232556392
BaseRepresentation
bin101111101010010100000010…
…1011101101010000100000000
32000222101011200101220012202001
41133110220011131222010000
5414422143311423014404
64043344241452233344
7154206334021541164
oct13724500535520400
92028334611805661
10419231849423104
11111642257713a13
123b029b3616b854
1314cc0517152bc3
147574d03448ca4
1533702b0d687a4
hex17d4a0576a100

419231849423104 has 81 divisors (see below), whose sum is σ = 874807441561263. Its totient is φ = 200498585227776.

The previous prime is 419231849423029. The next prime is 419231849423129. The reversal of 419231849423104 is 401324948132914.

It is a happy number.

The square root of 419231849423104 is 20475152.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×4192318494231042 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7534828117 + ... + 7534883755.

Almost surely, 2419231849423104 is an apocalyptic number.

419231849423104 is the 20475152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419231849423104

419231849423104 is an abundant number, since it is smaller than the sum of its proper divisors (455575592138159).

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

419231849423104 is an frugal number, since it uses more digits than its factorization.

419231849423104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111340 (or 55664 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 55.

The spelling of 419231849423104 in words is "four hundred nineteen trillion, two hundred thirty-one billion, eight hundred forty-nine million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 529 736 1058 1472 2116 2944 4232 5888 8464 16928 33856 55639 67712 111278 135424 222556 445112 890224 1279697 1780448 2559394 3560896 5118788 7121792 10237576 14243584 20475152 29433031 40950304 58866062 81900608 117732124 163801216 235464248 327602432 470928496 941856992 1883713984 3095698321 3767427968 6191396642 7534855936 12382793284 24765586568 49531173136 71201061383 99062346272 142402122766 198124692544 284804245532 396249385088 569608491064 792498770176 1139216982128 1637624411809 2278433964256 3275248823618 4556867928512 6550497647236 9113735857024 13100995294472 18227471714048 26201990588944 52403981177888 104807962355776 209615924711552 419231849423104