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4412421640 = 2351141277883
BaseRepresentation
bin1000001110000000…
…00011011000001000
3102101111202020120201
410013000003120020
533014034443030
62005501301544
7214225652014
oct40700033010
912344666521
104412421640
111964773760
12a318648b4
135541c1ba3
142dc02d544
151ac58e2ca
hex107003608

4412421640 has 128 divisors (see below), whose sum is σ = 11147310720. Its totient is φ = 1557964800.

The previous prime is 4412421583. The next prime is 4412421647. The reversal of 4412421640 is 461242144.

It is a junction number, because it is equal to n+sod(n) for n = 4412421599 and 4412421608.

It is not an unprimeable number, because it can be changed into a prime (4412421647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4996639 + ... + 4997521.

It is an arithmetic number, because the mean of its divisors is an integer number (87088365).

Almost surely, 24412421640 is an apocalyptic number.

4412421640 is a gapful number since it is divisible by the number (40) 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 4412421640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573655360).

4412421640 is an abundant number, since it is smaller than the sum of its proper divisors (6734889080).

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

4412421640 is a wasteful number, since it uses less digits than its factorization.

4412421640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 4412421640 is about 66426.0614518127. The cubic root of 4412421640 is about 1640.1831096359.

Adding to 4412421640 its reverse (461242144), we get a palindrome (4873663784).

The spelling of 4412421640 in words is "four billion, four hundred twelve million, four hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 277 328 410 440 451 554 820 883 902 1108 1385 1640 1766 1804 2216 2255 2770 3047 3532 3608 4415 4510 5540 6094 7064 8830 9020 9713 11080 11357 12188 15235 17660 18040 19426 22714 24376 30470 35320 36203 38852 45428 48565 56785 60940 72406 77704 90856 97130 113570 121880 124927 144812 181015 194260 227140 244591 249854 289624 362030 388520 398233 454280 489182 499708 624635 724060 796466 978364 999416 1222955 1249270 1448120 1592932 1956728 1991165 2445910 2498540 2690501 3185864 3982330 4891820 4997080 5381002 7964660 9783640 10028231 10762004 13452505 15929320 20056462 21524008 26905010 40112924 50141155 53810020 80225848 100282310 107620040 110310541 200564620 220621082 401129240 441242164 551552705 882484328 1103105410 2206210820 4412421640