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14014146692 = 22713194494513
BaseRepresentation
bin11010000110100111…
…01110100010000100
31100011200002102012002
431003103232202010
5212200110143232
610234335444432
71004166165350
oct150323564204
940150072162
1014014146692
115a41690917
122871386718
131424522cc0
1496d31a460
155704c9b62
hex3434ee884

14014146692 has 96 divisors (see below), whose sum is σ = 31850784000. Its totient is φ = 5239406592.

The previous prime is 14014146691. The next prime is 14014146763. The reversal of 14014146692 is 29664141041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (14014146691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3103028 + ... + 3107540.

It is an arithmetic number, because the mean of its divisors is an integer number (331779000).

Almost surely, 214014146692 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14014146692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15925392000).

14014146692 is an abundant number, since it is smaller than the sum of its proper divisors (17836637308).

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

14014146692 is a wasteful number, since it uses less digits than its factorization.

14014146692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 14014146692 in words is "fourteen billion, fourteen million, one hundred forty-six thousand, six hundred ninety-two".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 182 247 266 364 449 494 532 898 988 1729 1796 3143 3458 4513 5837 6286 6916 8531 9026 11674 12572 17062 18052 23348 31591 34124 40859 58669 59717 63182 81718 85747 110903 117338 119434 126364 163436 171494 221806 234676 238868 342988 410683 443612 600229 776321 821366 1114711 1200458 1552642 1642732 2026337 2229422 2400916 3105284 4052674 4458844 7802977 8105348 14184359 15605954 26342381 28368718 31211908 38500403 52684762 56737436 77000806 105369524 154001612 184396667 269502821 368793334 500505239 539005642 737586668 1001010478 1078011284 2002020956 3503536673 7007073346 14014146692