Search a number
-
+
214015206402 = 2352347939971
BaseRepresentation
bin1100011101010001001…
…1001110010000000010
3202110102002100221100000
43013110103032100002
512001300343101102
6242152304340430
721314332145034
oct3072423162002
9673362327300
10214015206402
1182844006208
1235589314716
1317248b2360a
14a5035d5c54
155878aad01c
hex31d44ce402

214015206402 has 96 divisors (see below), whose sum is σ = 502841364480. Its totient is φ = 68092572240.

The previous prime is 214015206401. The next prime is 214015206437. The reversal of 214015206402 is 204602510412.

214015206402 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 15 + 2 + 0 + 640 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (214015206401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5334277 + ... + 5374247.

It is an arithmetic number, because the mean of its divisors is an integer number (5237930880).

Almost surely, 2214015206402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214015206402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251420682240).

214015206402 is an abundant number, since it is smaller than the sum of its proper divisors (288826158078).

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

214015206402 is a wasteful number, since it uses less digits than its factorization.

214015206402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40490 (or 40478 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 214015206402 its reverse (204602510412), we get a palindrome (418617716814).

The spelling of 214015206402 in words is "two hundred fourteen billion, fifteen million, two hundred six thousand, four hundred two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 414 479 486 621 958 1242 1437 1863 2874 3726 4311 5589 8622 11017 11178 12933 22034 25866 33051 38799 39971 66102 77598 79942 99153 116397 119913 198306 232794 239826 297459 359739 594918 719478 892377 919333 1079217 1784754 1838666 2158434 2677131 2757999 3237651 5354262 5515998 6475302 8273997 9712953 16547994 19146109 19425906 24821991 38292218 49643982 57438327 74465973 114876654 148931946 172314981 223397919 344629962 440360507 446795838 516944943 880721014 1033889886 1321081521 1550834829 2642163042 3101669658 3963244563 4652504487 7926489126 9305008974 11889733689 23779467378 35669201067 71338402134 107007603201 214015206402