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13420379004744 = 2332693078577901
BaseRepresentation
bin1100001101001010110011…
…1011000101111101001000
31202111222100021202121021210
43003102230323011331020
53224334414011122434
644313123105333120
72553406334235405
oct303225473057510
952458307677253
1013420379004744
114304607096a78
121608b619371a0
137646c837153a
1434579a96b2ac
15184165213ee9
hexc34acec5f48

13420379004744 has 128 divisors (see below), whose sum is σ = 33829068873600. Its totient is φ = 4436567193600.

The previous prime is 13420379004727. The next prime is 13420379004821. The reversal of 13420379004744 is 44740097302431.

13420379004744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13420379004693 and 13420379004702.

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, 1698563194 + ... + 1698571094.

It is an arithmetic number, because the mean of its divisors is an integer number (264289600575).

Almost surely, 213420379004744 is an apocalyptic number.

It is an amenable number.

13420379004744 is an abundant number, since it is smaller than the sum of its proper divisors (20408689868856).

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

13420379004744 is a wasteful number, since it uses less digits than its factorization.

13420379004744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9343 (or 9339 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 13420379004744 in words is "thirteen trillion, four hundred twenty billion, three hundred seventy-nine million, four thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 269 307 538 614 807 857 921 1076 1228 1614 1714 1842 2152 2456 2571 3228 3428 3684 5142 6456 6856 7368 7901 10284 15802 20568 23703 31604 47406 63208 82583 94812 165166 189624 230533 247749 263099 330332 461066 495498 526198 660664 691599 789297 922132 990996 1052396 1383198 1578594 1844264 1981992 2104792 2125369 2425607 2766396 3157188 4250738 4851214 5532792 6314376 6376107 6771157 7276821 8501476 9702428 12752214 13542314 14553642 17002952 19404856 20313471 25504428 27084628 29107284 40626942 51008856 54169256 58214568 70773631 81253884 141547262 162507768 212320893 283094524 424641786 566189048 652488283 849283572 1304976566 1698567144 1821441233 1957464849 2078745199 2609953132 3642882466 3914929698 4157490398 5219906264 5464323699 6236235597 7285764932 7829859396 8314980796 10928647398 12472471194 14571529864 15659718792 16629961592 21857294796 24944942388 43714589592 49889884776 559182458531 1118364917062 1677547375593 2236729834124 3355094751186 4473459668248 6710189502372 13420379004744