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214251411051234 = 23323592923816303
BaseRepresentation
bin110000101101110001001011…
…001111111001001011100010
31001002121020100012210200212000
4300231301023033321023202
5211040243342212114414
62035401423415544430
763062103460446054
oct6055611317711342
91032536305720760
10214251411051234
11622a3571019927
122004343808b116
139271a8a71c66b
143ac9b760518d4
1519b8286ad0b09
hexc2dc4b3f92e2

214251411051234 has 64 divisors (see below), whose sum is σ = 505235457331200. Its totient is φ = 67154212824336.

The previous prime is 214251411051203. The next prime is 214251411051247. The reversal of 214251411051234 is 432150114152412.

214251411051234 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 5 + 1 + 411 + 0 + 5 + 1 + 234 = 666.

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, 1461834874 + ... + 1461981429.

It is an arithmetic number, because the mean of its divisors is an integer number (7894304020800).

Almost surely, 2214251411051234 is an apocalyptic number.

214251411051234 is an abundant number, since it is smaller than the sum of its proper divisors (290984046279966).

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

214251411051234 is a wasteful number, since it uses less digits than its factorization.

214251411051234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923816396 (or 2923816390 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 214251411051234 in words is "two hundred fourteen trillion, two hundred fifty-one billion, four hundred eleven million, fifty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 59 69 118 138 177 207 354 414 531 621 1062 1242 1357 1593 2714 3186 4071 8142 12213 24426 36639 73278 2923816303 5847632606 8771448909 17542897818 26314346727 52628693454 67247774969 78943040181 134495549938 157886080362 172505161877 201743324907 345010323754 403486649814 517515485631 605229974721 1035030971262 1210459949442 1552546456893 1815689924163 3105092913786 3631379848326 3967618723171 4657639370679 7935237446342 9315278741358 11902856169513 23805712339026 35708568508539 71417137017078 107125705525617 214251411051234