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4441411032 = 2333722921841
BaseRepresentation
bin1000010001011101…
…01000110111011000
3102110112022001112220
410020232220313120
533044000123112
62012414504040
7215030241132
oct41056506730
912415261486
104441411032
11197a073933
12a3b505020
1355a201b86
14301c18052
151aedb898c
hex108ba8dd8

4441411032 has 64 divisors (see below), whose sum is σ = 11453944800. Its totient is φ = 1434101760.

The previous prime is 4441411019. The next prime is 4441411033. The reversal of 4441411032 is 2301141444.

It is a super-2 number, since 2×44414110322 = 39452263910342610048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4441410993 and 4441411011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4441411033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192432 + ... + 214272.

Almost surely, 24441411032 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 4441411032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5726972400).

4441411032 is an abundant number, since it is smaller than the sum of its proper divisors (7012533768).

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

4441411032 is a wasteful number, since it uses less digits than its factorization.

4441411032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22116 (or 22112 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4441411032 is about 66643.9121900868. The cubic root of 4441411032 is about 1643.7672458358.

Adding to 4441411032 its reverse (2301141444), we get a palindrome (6742552476).

The spelling of 4441411032 in words is "four billion, four hundred forty-one million, four hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 229 296 444 458 687 888 916 1374 1832 2748 5496 8473 16946 21841 25419 33892 43682 50838 65523 67784 87364 101676 131046 174728 203352 262092 524184 808117 1616234 2424351 3232468 4848702 5001589 6464936 9697404 10003178 15004767 19394808 20006356 30009534 40012712 60019068 120038136 185058793 370117586 555176379 740235172 1110352758 1480470344 2220705516 4441411032