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39319440104484 = 2232231123169324977
BaseRepresentation
bin10001111000010110001010…
…10000101001110000100100
312011012220100101102020120100
420330023011100221300210
520123202203131320414
6215343033523504100
711165510244266451
oct1074130520516044
9164186311366510
1039319440104484
111158a30a979731
1244b0454b28030
1318c2a6580bb37
1499d0dcd92828
15482bc7685609
hex23c2c5429c24

39319440104484 has 144 divisors (see below), whose sum is σ = 103869971517312. Its totient is φ = 12517569985536.

The previous prime is 39319440104471. The next prime is 39319440104519. The reversal of 39319440104484 is 48440104491393.

It is a happy number.

39319440104484 is a `hidden beast` number, since 3 + 9 + 3 + 19 + 4 + 40 + 104 + 484 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 39319440104484.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1574213404 + ... + 1574238380.

It is an arithmetic number, because the mean of its divisors is an integer number (721319246648).

Almost surely, 239319440104484 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 39319440104484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51934985758656).

39319440104484 is an abundant number, since it is smaller than the sum of its proper divisors (64550531412828).

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

39319440104484 is a wasteful number, since it uses less digits than its factorization.

39319440104484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27826 (or 27821 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 39319440104484 in words is "thirty-nine trillion, three hundred nineteen billion, four hundred forty million, one hundred four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1123 1693 2246 3369 3386 4492 5079 6738 6772 10107 10158 13476 15237 20214 20316 24977 25829 30474 38939 40428 49954 51658 60948 74931 77487 77878 99908 103316 116817 149862 154974 155756 224793 232461 233634 299724 309948 350451 449586 464922 467268 574471 700902 899172 929844 1148942 1401804 1723413 1901239 2297884 3446826 3802478 5170239 5703717 6893652 7604956 10340478 11407434 17111151 20680956 22814868 28049171 34222302 42286061 43728497 56098342 68444604 84147513 84572122 87456994 112196684 126858183 131185491 168295026 169144244 174913988 252442539 253716366 262370982 336590052 380574549 393556473 504885078 507432732 524741964 645130933 761149098 787112946 972579403 1009770156 1290261866 1522298196 1574225892 1935392799 1945158806 2580523732 2917738209 3870785598 3890317612 5806178397 5835476418 7741571196 8753214627 11612356794 11670952836 17506429254 23224713588 35012858508 47487246503 94974493006 142461739509 189948986012 284923479018 427385218527 569846958036 854770437054 1092206669569 1709540874108 2184413339138 3276620008707 4368826678276 6553240017414 9829860026121 13106480034828 19659720052242 39319440104484