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34206255051114 = 23314726321416949
BaseRepresentation
bin1111100011100010000111…
…01011100111000101101010
311111010002022201122122221110
413301301003223213011222
513440413402243113424
6200430045302451150
710130214613405056
oct761610353470552
9144102281578843
1034206255051114
11a998878248353
123a05499733ab6
131611836413413
1486383d40cc66
153e4bb3421c29
hex1f1c43ae716a

34206255051114 has 128 divisors (see below), whose sum is σ = 72440369971200. Its totient is φ = 10751868806400.

The previous prime is 34206255051107. The next prime is 34206255051119. The reversal of 34206255051114 is 41115055260243.

It is not an unprimeable number, because it can be changed into a prime (34206255051119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4922468112 + ... + 4922475060.

It is an arithmetic number, because the mean of its divisors is an integer number (565940390400).

Almost surely, 234206255051114 is an apocalyptic number.

34206255051114 is an abundant number, since it is smaller than the sum of its proper divisors (38234114920086).

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

34206255051114 is a wasteful number, since it uses less digits than its factorization.

34206255051114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9436.

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 34206255051114 in words is "thirty-four trillion, two hundred six billion, two hundred fifty-five million, fifty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 31 47 62 93 94 141 186 263 282 526 789 1457 1578 2141 2914 4282 4371 6423 6949 8153 8742 12361 12846 13898 16306 20847 24459 24722 37083 41694 48918 66371 74166 100627 132742 199113 201254 215419 301881 326603 383191 398226 430838 563083 603762 646257 653206 766382 979809 1126166 1149573 1292514 1689249 1827587 1959618 2299146 3119437 3378498 3655174 5482761 6238874 9358311 10124693 10965522 14877809 17455573 18716622 20249386 26464901 29755618 30374079 34911146 44633427 52366719 52929802 56655197 60748158 79394703 85896589 89266854 104733438 113310394 158789406 169965591 171793178 257689767 339931182 461212079 515379534 699257023 820411931 922424158 1383636237 1398514046 1640823862 2097771069 2461235793 2662794259 2767272474 3912863767 4195542138 4922471586 5325588518 7825727534 7988382777 11738591301 15976765554 21676967713 23477182602 43353935426 65030903139 121298776777 130061806278 183904597049 242597553554 363896330331 367809194098 551713791147 727792660662 1103427582294 5701042508519 11402085017038 17103127525557 34206255051114