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4441944920 = 2357234116823
BaseRepresentation
bin1000010001100001…
…01011001101011000
3102110120022011220112
410020300223031120
533044114214140
62012434143452
7215034623510
oct41060531530
912416264815
104441944920
11197a3a8a66
12a3b721b88
1355a35ab9a
14301d16840
151aee71c65
hex108c2b358

4441944920 has 128 divisors (see below), whose sum is σ = 12210186240. Its totient is φ = 1421122560.

The previous prime is 4441944919. The next prime is 4441944973. The reversal of 4441944920 is 294491444.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255629 + ... + 272451.

It is an arithmetic number, because the mean of its divisors is an integer number (95392080).

Almost surely, 24441944920 is an apocalyptic number.

4441944920 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 4441944920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6105093120).

4441944920 is an abundant number, since it is smaller than the sum of its proper divisors (7768241320).

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

4441944920 is a wasteful number, since it uses less digits than its factorization.

4441944920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16905 (or 16901 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 4441944920 is about 66647.9175968762. The cubic root of 4441944920 is about 1643.8331072208.

The spelling of 4441944920 in words is "four billion, four hundred forty-one million, nine hundred forty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 41 46 56 70 82 92 115 140 161 164 184 205 230 280 287 322 328 410 460 574 644 805 820 920 943 1148 1288 1435 1610 1640 1886 2296 2870 3220 3772 4715 5740 6440 6601 7544 9430 11480 13202 16823 18860 26404 33005 33646 37720 52808 66010 67292 84115 117761 132020 134584 168230 235522 264040 336460 386929 471044 588805 672920 689743 773858 942088 1177610 1379486 1547716 1934645 2355220 2708503 2758972 3095432 3448715 3869290 4710440 4828201 5417006 5517944 6897430 7738580 9656402 10834012 13542515 13794860 15477160 15864089 19312804 21668024 24141005 27085030 27589720 31728178 38625608 48282010 54170060 63456356 79320445 96564020 108340120 111048623 126912712 158640890 193128040 222097246 317281780 444194492 555243115 634563560 888388984 1110486230 2220972460 4441944920