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340601062050612 = 2232113777572996783
BaseRepresentation
bin100110101110001100101110…
…1010100000100101100110100
31122122222010212122011102012200
41031130121131110010230310
5324120401433341104422
63204221545014144500
7131512420555630236
oct11534313524045464
91578863778142180
10340601062050612
1199587110092470
123224a926652130
131180870868139c
146017272256256
152959c367852ac
hex135c65d504b34

340601062050612 has 144 divisors (see below), whose sum is σ = 964742590086912. Its totient is φ = 100409937949440.

The previous prime is 340601062050503. The next prime is 340601062050629. The reversal of 340601062050612 is 216050260106043.

340601062050612 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 0 + 10 + 6 + 20 + 5 + 0 + 612 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112157173 + ... + 115153955.

It is an arithmetic number, because the mean of its divisors is an integer number (6699601320048).

Almost surely, 2340601062050612 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 340601062050612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482371295043456).

340601062050612 is an abundant number, since it is smaller than the sum of its proper divisors (624141528036300).

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

340601062050612 is a wasteful number, since it uses less digits than its factorization.

340601062050612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004598 (or 3004593 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 340601062050612 in words is "three hundred forty trillion, six hundred one billion, sixty-two million, fifty thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 7326 7757 14652 15514 23271 31028 46542 69813 85327 93084 139626 170654 255981 279252 287009 341308 511962 574018 767943 861027 1023924 1148036 1535886 1722054 2583081 2996783 3071772 3157099 3444108 5166162 5993566 6314198 8990349 9471297 10332324 11987132 12628396 17980698 18942594 26971047 28413891 32964613 35961396 37885188 53942094 56827782 65929226 98893839 107884188 110880971 113655564 131858452 197787678 221761942 296681517 332642913 395575356 443523884 593363034 665285826 997928739 1186726068 1219690681 1330571652 1995857478 2439381362 3659072043 3991714956 4878762724 7318144086 10977216129 14636288172 21954432258 23246045731 43908864516 46492091462 69738137193 92984182924 139476274386 209214411579 255706503041 278952548772 418428823158 511413006082 767119509123 836857646316 860103692047 1022826012164 1534239018246 1720207384094 2301358527369 2580311076141 3068478036492 3440414768188 4602717054738 5160622152282 7740933228423 9205434109476 9461140612517 10321244304564 15481866456846 18922281225034 28383421837551 30963732913692 37844562450068 56766843675102 85150265512653 113533687350204 170300531025306 340601062050612