Search a number
-
+
3322040412140 = 22529311194115473
BaseRepresentation
bin110000010101111001000…
…010011110011111101100
3102202120202201010020200222
4300111321002132133230
5413412014321142030
611022042503110512
7462003154410662
oct60257102363754
912676681106628
103322040412140
11107096223091a
12457a00742438
131b136198caa8
14b6b052d8c32
155b631d653e5
hex3057909e7ec

3322040412140 has 96 divisors (see below), whose sum is σ = 7450753282560. Its totient is φ = 1241423769600.

The previous prime is 3322040412139. The next prime is 3322040412143. The reversal of 3322040412140 is 412140402233.

It is a super-2 number, since 2×33220404121402 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3322040412143) 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, 214691444 + ... + 214706916.

It is an arithmetic number, because the mean of its divisors is an integer number (77612013360).

Almost surely, 23322040412140 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 3322040412140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725376641280).

3322040412140 is an abundant number, since it is smaller than the sum of its proper divisors (4128712870420).

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

3322040412140 is a wasteful number, since it uses less digits than its factorization.

3322040412140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27483 (or 27481 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 3322040412140 its reverse (412140402233), we get a palindrome (3734180814373).

The spelling of 3322040412140 in words is "three trillion, three hundred twenty-two billion, forty million, four hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 145 155 290 310 580 620 899 1798 3596 4495 8990 11941 15473 17980 23882 30946 47764 59705 61892 77365 119410 154730 238820 309460 346289 370171 448717 479663 692578 740342 897434 959326 1385156 1480684 1731445 1794868 1850855 1918652 2243585 2398315 3462890 3701710 4487170 4796630 6925780 7403420 8974340 9593260 10734959 13910227 21469918 27820454 42939836 53674795 55640908 69551135 107349590 139102270 184763093 214699180 278204540 369526186 739052372 923815465 1847630930 3695261860 5358129697 5727655883 10716259394 11455311766 21432518788 22910623532 26790648485 28638279415 53581296970 57276558830 107162593940 114553117660 166102020607 332204041214 664408082428 830510103035 1661020206070 3322040412140