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4434121608 = 2337239971151
BaseRepresentation
bin1000010000100101…
…10101001110001000
3102110000120201100020
410020102311032020
533040113342413
62011554340440
7214611261150
oct41022651610
912400521306
104434121608
111975a45214
12a38b8a720
1355884bcc7
14300c7b760
151ae428c23
hex1084b5388

4434121608 has 128 divisors (see below), whose sum is σ = 13244497920. Its totient is φ = 1209542400.

The previous prime is 4434121589. The next prime is 4434121613. The reversal of 4434121608 is 8061214344.

It is a super-2 number, since 2×44341216082 = 39322868869065011328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3851833 + ... + 3852983.

It is an arithmetic number, because the mean of its divisors is an integer number (103472640).

Almost surely, 24434121608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4434121608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6622248960).

4434121608 is an abundant number, since it is smaller than the sum of its proper divisors (8810376312).

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

4434121608 is a wasteful number, since it uses less digits than its factorization.

4434121608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4434121608 is about 66589.2003856481. The cubic root of 4434121608 is about 1642.8674809122.

The spelling of 4434121608 in words is "four billion, four hundred thirty-four million, one hundred twenty-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 997 1151 1288 1932 1994 2302 2991 3453 3864 3988 4604 5982 6906 6979 7976 8057 9208 11964 13812 13958 16114 20937 22931 23928 24171 26473 27624 27916 32228 41874 45862 48342 52946 55832 64456 68793 79419 83748 91724 96684 105892 137586 158838 160517 167496 183448 185311 193368 211784 275172 317676 321034 370622 481551 550344 555933 635352 642068 741244 963102 1111866 1147547 1284136 1482488 1926204 2223732 2295094 3442641 3852408 4447464 4590188 6885282 8032829 9180376 13770564 16065658 24098487 26393581 27541128 32131316 48196974 52787162 64262632 79180743 96393948 105574324 158361486 184755067 192787896 211148648 316722972 369510134 554265201 633445944 739020268 1108530402 1478040536 2217060804 4434121608