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106445938214 = 2721198743913
BaseRepresentation
bin110001100100010101…
…1000001111000100110
3101011202101210221011002
41203020223001320212
53221000130010324
6120522305513302
710455554355200
oct1431053017046
9334671727132
10106445938214
1141163a58970
1218768642832
13a0650b2475
14521b191770
152b800ac3ae
hex18c8ac1e26

106445938214 has 24 divisors (see below), whose sum is σ = 202622511528. Its totient is φ = 41472443040.

The previous prime is 106445938163. The next prime is 106445938217. The reversal of 106445938214 is 412839544601.

It is a super-3 number, since 3×1064459382143 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106445938217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49370879 + ... + 49373034.

It is an arithmetic number, because the mean of its divisors is an integer number (8442604647).

Almost surely, 2106445938214 is an apocalyptic number.

106445938214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106445938214 is a deficient number, since it is larger than the sum of its proper divisors (96176573314).

106445938214 is a wasteful number, since it uses less digits than its factorization.

106445938214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98743940 (or 98743933 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 106445938214 in words is "one hundred six billion, four hundred forty-five million, nine hundred thirty-eight thousand, two hundred fourteen".

Divisors: 1 2 7 11 14 22 49 77 98 154 539 1078 98743913 197487826 691207391 1086183043 1382414782 2172366086 4838451737 7603281301 9676903474 15206562602 53222969107 106445938214