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3320132442440 = 23511191013932129
BaseRepresentation
bin110000010100000111010…
…100001001100101001000
3102202101211201221100022112
4300110013110021211020
5413344112401124230
611021125304441452
7461604656056052
oct60240724114510
912671751840275
103320132442440
111070073231a60
12457569779288
131b11195c8838
14b69a3b588d2
155b56e5d0d95
hex30507509948

3320132442440 has 128 divisors (see below), whose sum is σ = 8663268816000. Its totient is φ = 1132452864000.

The previous prime is 3320132442437. The next prime is 3320132442449. The reversal of 3320132442440 is 442442310233.

It is a super-2 number, since 2×33201324424402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3320132442397 and 3320132442406.

It is not an unprimeable number, because it can be changed into a prime (3320132442449) 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, 1121705 + ... + 2810424.

It is an arithmetic number, because the mean of its divisors is an integer number (67681787625).

Almost surely, 23320132442440 is an apocalyptic number.

It is an amenable number.

3320132442440 is an abundant number, since it is smaller than the sum of its proper divisors (5343136373560).

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

3320132442440 is a wasteful number, since it uses less digits than its factorization.

3320132442440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932271 (or 3932267 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 3320132442440 its reverse (442442310233), we get a palindrome (3762574752673).

The spelling of 3320132442440 in words is "three trillion, three hundred twenty billion, one hundred thirty-two million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 101 110 152 190 202 209 220 380 404 418 440 505 760 808 836 1010 1045 1111 1672 1919 2020 2090 2222 3838 4040 4180 4444 5555 7676 8360 8888 9595 11110 15352 19190 21109 22220 38380 42218 44440 76760 84436 105545 168872 211090 422180 844360 3932129 7864258 15728516 19660645 31457032 39321290 43253419 74710451 78642580 86506838 149420902 157285160 173013676 216267095 298841804 346027352 373552255 397145029 432534190 597683608 747104510 794290058 821814961 865068380 1494209020 1588580116 1643629922 1730136760 1985725145 2988418040 3177160232 3287259844 3971450290 4109074805 4368595319 6574519688 7545755551 7942900580 8218149610 8737190638 15091511102 15885801160 16436299220 17474381276 21842976595 30183022204 32872598440 34948762552 37728777755 43685953190 60366044408 75457555510 83003311061 87371906380 150915111020 166006622122 174743812760 301830222040 332013244244 415016555305 664026488488 830033110610 1660066221220 3320132442440