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214240041330012 = 223419107325250711
BaseRepresentation
bin110000101101100110100101…
…100011110110010101011100
31001002120010222211200000110000
4300231212211203312111130
5211040102101040030022
62035352303303214300
763061221641430555
oct6055464543662534
91032503884600400
10214240041330012
1162299767117005
12200411a4447390
139270998025579
143ac93b801d32c
1519b7d1d85e6ac
hexc2d9a58f655c

214240041330012 has 120 divisors (see below), whose sum is σ = 595052682618240. Its totient is φ = 67022462305440.

The previous prime is 214240041329891. The next prime is 214240041330047. The reversal of 214240041330012 is 210033140042412.

214240041330012 is a `hidden beast` number, since 2 + 1 + 4 + 240 + 0 + 413 + 3 + 0 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161966664 + ... + 163284047.

It is an arithmetic number, because the mean of its divisors is an integer number (4958772355152).

Almost surely, 2214240041330012 is an apocalyptic number.

It is an amenable number.

214240041330012 is an abundant number, since it is smaller than the sum of its proper divisors (380812641288228).

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

214240041330012 is a wasteful number, since it uses less digits than its factorization.

214240041330012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325250853 (or 325250842 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 214240041330012 its reverse (210033140042412), we get a palindrome (424273181372424).

The spelling of 214240041330012 in words is "two hundred fourteen trillion, two hundred forty billion, forty-one million, three hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 107 108 114 162 171 214 228 321 324 342 428 513 642 684 963 1026 1284 1539 1926 2033 2052 2889 3078 3852 4066 5778 6099 6156 8132 8667 11556 12198 17334 18297 24396 34668 36594 54891 73188 109782 164673 219564 329346 658692 325250711 650501422 975752133 1301002844 1951504266 2927256399 3903008532 5854512798 6179763509 8781769197 11709025596 12359527018 17563538394 18539290527 24719054036 26345307591 34801826077 35127076788 37078581054 52690615182 55617871581 69603652154 74157162108 104405478231 105381230364 111235743162 139207304308 166853614743 208810956462 222471486324 313216434693 333707229486 417621912924 500560844229 626432869386 661234695463 667414458972 939649304079 1001121688458 1252865738772 1322469390926 1879298608158 1983704086389 2002243376916 2644938781852 2818947912237 3758597216316 3967408172778 5637895824474 5951112259167 7934816345556 11275791648948 11902224518334 17853336777501 23804449036668 35706673555002 53560010332503 71413347110004 107120020665006 214240041330012