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21214026141606 = 23229714261134333
BaseRepresentation
bin1001101001011010001100…
…11111100000111110100110
32210010001002221211102202100
410310231012133200332212
510240032311143012411
6113041331123352530
74316443225662024
oct464550637407646
983101087742670
1021214026141606
1168398aa7879a1
122467506522746
13bab6217312cc
14534a9b505714
1526bc5b11a456
hex134b467e0fa6

21214026141606 has 96 divisors (see below), whose sum is σ = 48230054233920. Its totient is φ = 6729710803200.

The previous prime is 21214026141587. The next prime is 21214026141619. The reversal of 21214026141606 is 60614162041212.

21214026141606 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 4 + 0 + 2 + 6 + 1 + 41 + 606 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157854016 + ... + 157988348.

It is an arithmetic number, because the mean of its divisors is an integer number (502396398270).

Almost surely, 221214026141606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21214026141606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24115027116960).

21214026141606 is an abundant number, since it is smaller than the sum of its proper divisors (27016028092314).

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

21214026141606 is a wasteful number, since it uses less digits than its factorization.

21214026141606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138702 (or 138699 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 21214026141606 its reverse (60614162041212), we get a palindrome (81828188182818).

The spelling of 21214026141606 in words is "twenty-one trillion, two hundred fourteen billion, twenty-six million, one hundred forty-one thousand, six hundred six".

Divisors: 1 2 3 6 9 18 29 58 71 87 142 174 213 261 426 522 639 1278 2059 4118 4261 6177 8522 12354 12783 18531 25566 37062 38349 76698 123569 134333 247138 268666 302531 370707 402999 605062 741414 805998 907593 1112121 1208997 1815186 2224242 2417994 2722779 3895657 5445558 7791314 8773399 9537643 11686971 17546798 19075286 23373942 26320197 28612929 35060913 52640394 57225858 70121826 78960591 85838787 157921182 171677574 276591647 553183294 572392913 829774941 1144785826 1659549882 1717178739 2489324823 3434357478 4978649646 5151536217 10303072434 16599394477 33198788954 40639896823 49798183431 81279793646 99596366862 121919690469 149394550293 243839380938 298789100586 365759071407 731518142814 1178557007867 2357114015734 3535671023601 7071342047202 10607013070803 21214026141606