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234202030001214 = 231153731376694643
BaseRepresentation
bin110101010000000101101000…
…110011011100110000111110
31010201020111101011002221122020
4311100011220303130300332
5221144131224140014324
62150034532142501010
7100221352426501062
oct6520055063346076
91121214334087566
10234202030001214
1168695583335120
1222325b09b94766
13a08b206265772
1441b961dc59aa2
151c121eb5d4679
hexd50168cdcc3e

234202030001214 has 128 divisors (see below), whose sum is σ = 531611718409728. Its totient is φ = 68176091842560.

The previous prime is 234202030001171. The next prime is 234202030001239. The reversal of 234202030001214 is 412100030202432.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 31636177 + ... + 38330819.

It is an arithmetic number, because the mean of its divisors is an integer number (4153216550076).

Almost surely, 2234202030001214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234202030001214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265805859204864).

234202030001214 is an abundant number, since it is smaller than the sum of its proper divisors (297409688408514).

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

234202030001214 is a wasteful number, since it uses less digits than its factorization.

234202030001214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6694922.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 234202030001214 its reverse (412100030202432), we get a palindrome (646302060203646).

The spelling of 234202030001214 in words is "two hundred thirty-four trillion, two hundred two billion, thirty million, one thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 53 66 73 106 137 146 159 219 274 318 411 438 583 803 822 1166 1507 1606 1749 2409 3014 3498 3869 4521 4818 7261 7738 9042 10001 11607 14522 20002 21783 23214 30003 42559 43566 60006 79871 85118 110011 127677 159742 220022 239613 255354 330033 479226 530053 660066 1060106 1590159 3180318 5830583 6694643 11661166 13389286 17491749 20083929 34983498 40167858 73641073 147282146 220923219 354816079 441846438 488708939 709632158 917166091 977417878 1064448237 1466126817 1834332182 2128896474 2751498273 2932253634 3902976869 5375798329 5502996546 7805953738 10088827001 10751596658 11708930607 16127394987 20177654002 23417861214 25901573767 30266481003 32254789974 48609802823 51803147534 60532962006 66953124643 77704721301 97219605646 133906249286 145829408469 155409442602 200859373929 284917311437 291658816938 401718747858 534707831053 569834622874 736484371073 854751934311 1069415662106 1472968742146 1604123493159 1709503868622 2209453113219 3208246986318 3548515606079 4418906226438 7097031212158 10645546818237 21291093636474 39033671666869 78067343333738 117101015000607 234202030001214