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44061431340 = 22357110939463
BaseRepresentation
bin101001000010010001…
…000001011000101100
311012201201100121220110
4221002101001120230
51210214211300330
632124101220020
73116611662333
oct510221013054
9135651317813
1044061431340
1117760590573
128658101610
134202632584
1421bdb52d1a
15122d343db0
hexa4244162c

44061431340 has 96 divisors (see below), whose sum is σ = 125237339136. Its totient is φ = 11572404480.

The previous prime is 44061431321. The next prime is 44061431347. The reversal of 44061431340 is 4313416044.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 44061431298 and 44061431307.

It is not an unprimeable number, because it can be changed into a prime (44061431347) 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, 4651449 + ... + 4660911.

It is an arithmetic number, because the mean of its divisors is an integer number (1304555616).

Almost surely, 244061431340 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 44061431340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62618669568).

44061431340 is an abundant number, since it is smaller than the sum of its proper divisors (81175907796).

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

44061431340 is a wasteful number, since it uses less digits than its factorization.

44061431340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10639 (or 10637 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 44061431340 its reverse (4313416044), we get a palindrome (48374847384).

The spelling of 44061431340 in words is "forty-four billion, sixty-one million, four hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1093 1420 2130 2186 3279 4260 4372 5465 6558 9463 10930 13116 16395 18926 21860 28389 32790 37852 47315 56778 65580 77603 94630 113556 141945 155206 189260 232809 283890 310412 388015 465618 567780 671873 776030 931236 1164045 1343746 1552060 2015619 2328090 2687492 3359365 4031238 4656180 6718730 8062476 10078095 10343059 13437460 20156190 20686118 31029177 40312380 41372236 51715295 62058354 103430590 124116708 155145885 206861180 310291770 620583540 734357189 1468714378 2203071567 2937428756 3671785945 4406143134 7343571890 8812286268 11015357835 14687143780 22030715670 44061431340