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14148146813340 = 22351552715186607
BaseRepresentation
bin1100110111100001111101…
…0000111101100110011100
31212002112211200021211110010
43031320133100331212130
53323300401041011330
650031322515243220
72660112160445211
oct315703720754634
955075750254403
1014148146813340
114565217042211
1217060098a9510
137b821a5b0647
1436cab9a5db08
1519805be6a3b0
hexcde1f43d99c

14148146813340 has 48 divisors (see below), whose sum is σ = 39617365036032. Its totient is φ = 3772595916096.

The previous prime is 14148146813321. The next prime is 14148146813387. The reversal of 14148146813340 is 4331864184141.

It is a self number, because there is not a number n which added to its sum of digits gives 14148146813340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6661684 + ... + 8524923.

It is an arithmetic number, because the mean of its divisors is an integer number (825361771584).

Almost surely, 214148146813340 is an apocalyptic number.

14148146813340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14148146813340 is an abundant number, since it is smaller than the sum of its proper divisors (25469218222692).

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

14148146813340 is a wasteful number, since it uses less digits than its factorization.

14148146813340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15202146 (or 15202144 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 14148146813340 in words is "fourteen trillion, one hundred forty-eight billion, one hundred forty-six million, eight hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 15527 31054 46581 62108 77635 93162 155270 186324 232905 310540 465810 931620 15186607 30373214 45559821 60746428 75933035 91119642 151866070 182239284 227799105 303732140 455598210 911196420 235802446889 471604893778 707407340667 943209787556 1179012234445 1414814681334 2358024468890 2829629362668 3537036703335 4716048937780 7074073406670 14148146813340