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212114142342 = 23361109159023
BaseRepresentation
bin1100010110001011111…
…1001111010010000110
3202021111121011212201000
43011202333033102012
511433402210023332
6241235514114130
721216246314154
oct3054277172206
9667447155630
10212114142342
1181a589a3693
123513871b946
131700500963b
14a3a2d323d4
1557b6c3eb7c
hex3162fcf486

212114142342 has 64 divisors (see below), whose sum is σ = 479539307520. Its totient is φ = 69480698400.

The previous prime is 212114142329. The next prime is 212114142349. The reversal of 212114142342 is 243241411212.

212114142342 is a `hidden beast` number, since 2 + 1 + 2 + 11 + 414 + 234 + 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 not an unprimeable number, because it can be changed into a prime (212114142349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3564243 + ... + 3623265.

It is an arithmetic number, because the mean of its divisors is an integer number (7492801680).

Almost surely, 2212114142342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212114142342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239769653760).

212114142342 is an abundant number, since it is smaller than the sum of its proper divisors (267425165178).

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

212114142342 is a wasteful number, since it uses less digits than its factorization.

212114142342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60186 (or 60180 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 212114142342 its reverse (243241411212), we get a palindrome (455355553554).

The spelling of 212114142342 in words is "two hundred twelve billion, one hundred fourteen million, one hundred forty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 366 549 1091 1098 1647 2182 3273 3294 6546 9819 19638 29457 58914 59023 66551 118046 133102 177069 199653 354138 399306 531207 598959 1062414 1197918 1593621 1796877 3187242 3593754 3600403 7200806 10801209 21602418 32403627 64394093 64807254 97210881 128788186 193182279 194421762 386364558 579546837 1159093674 1738640511 3477281022 3928039673 7856079346 11784119019 23568238038 35352357057 70704714114 106057071171 212114142342