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13140101002014 = 2337231511398781
BaseRepresentation
bin1011111100110110101100…
…0011010111001100011110
31201112011220020020211202000
42333031223003113030132
53210241411324031024
643540251251143130
72524224644435250
oct277155303271436
951464806224660
1013140101002014
11420675a4aa178
1215827812a4aa6
1374414c451ccc
14335dacc25cd0
1517bc0e1a9cc9
hexbf36b0d731e

13140101002014 has 64 divisors (see below), whose sum is σ = 34822627937280. Its totient is φ = 3591083501280.

The previous prime is 13140101002009. The next prime is 13140101002031. The reversal of 13140101002014 is 41020010104131.

13140101002014 is a `hidden beast` number, since 131 + 401 + 0 + 100 + 20 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 755690697 + ... + 755708084.

It is an arithmetic number, because the mean of its divisors is an integer number (544103561520).

Almost surely, 213140101002014 is an apocalyptic number.

13140101002014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13140101002014 is an abundant number, since it is smaller than the sum of its proper divisors (21682526935266).

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

13140101002014 is a wasteful number, since it uses less digits than its factorization.

13140101002014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511398822 (or 1511398816 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13140101002014 its reverse (41020010104131), we get a palindrome (54160111106145).

The spelling of 13140101002014 in words is "thirteen trillion, one hundred forty billion, one hundred one million, two thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 621 966 1242 1449 2898 4347 8694 1511398781 3022797562 4534196343 9068392686 10579791467 13602589029 21159582934 27205178058 31739374401 34762171963 40807767087 63478748802 69524343926 81615534174 95218123203 104286515889 190436246406 208573031778 243335203741 285654369609 312859547667 486670407482 571308739218 625719095334 730005611223 938578643001 1460011222446 1877157286002 2190016833669 4380033667338 6570050501007 13140101002014