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3121444040 = 23511132292383
BaseRepresentation
bin1011101000001101…
…0111010011001000
322001112112210020112
42322003113103020
522343042202130
61233423213452
7140231556641
oct27203272310
98045483215
103121444040
111361a79120
12731447288
133a98c5810
142187ba6c8
15134082495
hexba0d74c8

3121444040 has 128 divisors (see below), whose sum is σ = 8290598400. Its totient is φ = 1042744320.

The previous prime is 3121444019. The next prime is 3121444093. The reversal of 3121444040 is 404441213.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3121443997 and 3121444015.

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, 1308689 + ... + 1311071.

It is an arithmetic number, because the mean of its divisors is an integer number (64770300).

Almost surely, 23121444040 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 3121444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145299200).

3121444040 is an abundant number, since it is smaller than the sum of its proper divisors (5169154360).

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

3121444040 is a wasteful number, since it uses less digits than its factorization.

3121444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 3121444040 is about 55869.8849112829. The cubic root of 3121444040 is about 1461.4541151608.

Adding to 3121444040 its reverse (404441213), we get a palindrome (3525885253).

The spelling of 3121444040 in words is "three billion, one hundred twenty-one million, four hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 229 260 286 440 458 520 572 715 916 1144 1145 1430 1832 2290 2383 2519 2860 2977 4580 4766 5038 5720 5954 9160 9532 10076 11908 11915 12595 14885 19064 20152 23816 23830 25190 26213 29770 30979 32747 47660 50380 52426 59540 61958 65494 95320 100760 104852 119080 123916 130988 131065 154895 163735 209704 247832 261976 262130 309790 327470 340769 524260 545707 619580 654940 681538 1048520 1091414 1239160 1309880 1363076 1703845 2182828 2726152 2728535 3407690 4365656 5457070 6002777 6815380 7094191 10914140 12005554 13630760 14188382 21828280 24011108 28376764 30013885 35470955 48022216 56753528 60027770 70941910 78036101 120055540 141883820 156072202 240111080 283767640 312144404 390180505 624288808 780361010 1560722020 3121444040