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421422144 = 263111315349
BaseRepresentation
bin11001000111100…
…110010001000000
31002100222110111120
4121013212101000
51330341002034
6105452312240
713305012663
oct3107462100
91070873446
10421422144
111a6977770
12b9172680
1369402120
143dd7d6da
1526ee5c49
hex191e6440

421422144 has 112 divisors (see below), whose sum is σ = 1310030400. Its totient is φ = 117872640.

The previous prime is 421422143. The next prime is 421422151. The reversal of 421422144 is 441224124.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421422143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19782 + ... + 35130.

It is an arithmetic number, because the mean of its divisors is an integer number (11696700).

Almost surely, 2421422144 is an apocalyptic number.

421422144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655015200).

421422144 is an abundant number, since it is smaller than the sum of its proper divisors (888608256).

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

421422144 is a wasteful number, since it uses less digits than its factorization.

421422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15388 (or 15378 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 421422144 is about 20528.5689710705. The cubic root of 421422144 is about 749.7315448094.

Adding to 421422144 its reverse (441224124), we get a palindrome (862646268).

The spelling of 421422144 in words is "four hundred twenty-one million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 832 858 1056 1144 1248 1716 2112 2288 2496 3432 4576 6864 9152 13728 15349 27456 30698 46047 61396 92094 122792 168839 184188 199537 245584 337678 368376 399074 491168 506517 598611 675356 736752 798148 982336 1013034 1197222 1350712 1473504 1596296 2026068 2194907 2394444 2701424 2947008 3192592 4052136 4389814 4788888 5402848 6385184 6584721 8104272 8779628 9577776 10805696 12770368 13169442 16208544 17559256 19155552 26338884 32417088 35118512 38311104 52677768 70237024 105355536 140474048 210711072 421422144