Search a number
-
+
139365617287104 = 2634132067984587
BaseRepresentation
bin11111101100000010010110…
…000111001011111111000000
3200021110020000111020200220000
4133230002112013023333000
5121231331241011141404
61212223403011520000
741232555626143425
oct3754022607137700
9607406014220800
10139365617287104
114045169878264a
1213769ba72b9000
135c9c1766cb780
14265b490903d4c
15111a345dc3339
hex7ec0961cbfc0

139365617287104 has 140 divisors (see below), whose sum is σ = 444902068293144. Its totient is φ = 42881728375296.

The previous prime is 139365617287097. The next prime is 139365617287121. The reversal of 139365617287104 is 401782716563931.

139365617287104 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 6 + 5 + 617 + 2 + 8 + 7 + 1 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1033924902 + ... + 1034059685.

It is a 1-persistent number, because it is pandigital, but 2⋅139365617287104 = 278731234574208 is not.

Almost surely, 2139365617287104 is an apocalyptic number.

It is an amenable number.

139365617287104 is an abundant number, since it is smaller than the sum of its proper divisors (305536451006040).

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

139365617287104 is a wasteful number, since it uses less digits than its factorization.

139365617287104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067984624 (or 2067984605 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 139365617287104 in words is "one hundred thirty-nine trillion, three hundred sixty-five billion, six hundred seventeen million, two hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 7488 8424 11232 16848 22464 33696 67392 2067984587 4135969174 6203953761 8271938348 12407907522 16543876696 18611861283 24815815044 26883799631 33087753392 37223722566 49631630088 53767599262 55835583849 66175506784 74447445132 80651398893 99263260176 107535198524 111671167698 132351013568 148894890264 161302797786 167506751547 198526520352 215070397048 223342335396 241954196679 297789780528 322605595572 335013503094 397053040704 430140794096 446684670792 483908393358 595579561056 645211191144 670027006188 725862590037 860281588192 893369341584 967816786716 1191159122112 1290422382288 1340054012376 1451725180074 1720563176384 1786738683168 1935633573432 2177587770111 2580844764576 2680108024752 2903450360148 3573477366336 3871267146864 4355175540222 5161689529152 5360216049504 5806900720296 7742534293728 8710351080444 10720432099008 11613801440592 15485068587456 17420702160888 23227602881184 34841404321776 46455205762368 69682808643552 139365617287104