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3441456541392 = 2435983116312589
BaseRepresentation
bin110010000101000110110…
…010110110111011010000
3110012000000000122011002220
4302011012302312323100
5422341100333311032
611152552221141040
7503431333642212
oct62050662667320
913160000564086
103441456541392
111107571554231
12476b889ba780
131bc6b2c07bbc
14bc7d2c965b2
155e7c093712c
hex32146cb6ed0

3441456541392 has 160 divisors (see below), whose sum is σ = 9158638809600. Its totient is φ = 1113075672576.

The previous prime is 3441456541361. The next prime is 3441456541447. The reversal of 3441456541392 is 2931456541443.

It is a congruent number.

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, 273363834 + ... + 273376422.

It is an arithmetic number, because the mean of its divisors is an integer number (57241492560).

Almost surely, 23441456541392 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 3441456541392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4579319404800).

3441456541392 is an abundant number, since it is smaller than the sum of its proper divisors (5717182268208).

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

3441456541392 is a wasteful number, since it uses less digits than its factorization.

3441456541392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13905 (or 13899 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 51.

Adding to 3441456541392 its sum of digits (51), we get a palindrome (3441456541443).

The spelling of 3441456541392 in words is "three trillion, four hundred forty-one billion, four hundred fifty-six million, five hundred forty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 83 118 166 177 236 249 332 354 472 498 664 708 944 996 1163 1328 1416 1992 2326 2832 3489 3984 4652 4897 6978 9304 9794 12589 13956 14691 18608 19588 25178 27912 29382 37767 39176 50356 55824 58764 68617 75534 78352 96529 100712 117528 137234 151068 193058 201424 205851 235056 274468 289587 302136 386116 411702 548936 579174 604272 742751 772232 823404 1044887 1097872 1158348 1485502 1544464 1646808 2089774 2228253 2316696 2971004 3134661 3293616 4179548 4456506 4633392 5695211 5942008 6269322 8359096 8913012 11390422 11884016 12538644 14641007 16718192 17085633 17826024 22780844 25077288 29282014 34171266 35652048 43923021 45561688 50154576 58564028 61648333 68342532 87846042 91123376 117128056 123296666 136685064 175692084 184944999 234256112 246593332 273370128 351384168 369889998 493186664 702768336 739779996 863819413 986373328 1215203581 1479559992 1727638826 2430407162 2591458239 2959119984 3455277652 3645610743 4860814324 5182916478 6910555304 7291221486 9721628648 10365832956 13821110608 14582442972 19443257296 20731665912 29164885944 41463331824 58329771888 71697011279 143394022558 215091033837 286788045116 430182067674 573576090232 860364135348 1147152180464 1720728270696 3441456541392