Search a number
-
+
14124045625650 = 235521423816917
BaseRepresentation
bin1100110110001000001010…
…1110001110100100110010
31212000020122000122122100000
43031202002232032210302
53322402021140010100
650012255203210430
72655300005644662
oct315420256164462
955006560578300
1014124045625650
114555a795a7184
121701402376a16
137b5b7934603c
1436b870c041a2
151975eb13c900
hexcd882b8e932

14124045625650 has 144 divisors (see below), whose sum is σ = 39379734785664. Its totient is φ = 3763760748480.

The previous prime is 14124045625631. The next prime is 14124045625667. The reversal of 14124045625650 is 5652654042141.

14124045625650 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 40 + 45 + 6 + 2 + 565 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14124045625596 and 14124045625605.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16880992 + ... + 17697908.

It is an arithmetic number, because the mean of its divisors is an integer number (273470380456).

Almost surely, 214124045625650 is an apocalyptic number.

14124045625650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14124045625650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19689867392832).

14124045625650 is an abundant number, since it is smaller than the sum of its proper divisors (25255689160014).

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

14124045625650 is a wasteful number, since it uses less digits than its factorization.

14124045625650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818367 (or 818350 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

Adding to 14124045625650 its reverse (5652654042141), we get a palindrome (19776699667791).

The spelling of 14124045625650 in words is "fourteen trillion, one hundred twenty-four billion, forty-five million, six hundred twenty-five thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 810 1215 1350 1423 2025 2430 2846 4050 4269 6075 7115 8538 12150 12807 14230 21345 25614 35575 38421 42690 64035 71150 76842 106725 115263 128070 192105 213450 230526 320175 345789 384210 576315 640350 691578 816917 960525 1152630 1633834 1728945 1921050 2450751 2881575 3457890 4084585 4901502 5763150 7352253 8169170 8644725 12253755 14704506 17289450 20422925 22056759 24507510 36761265 40845850 44113518 61268775 66170277 73522530 110283795 122537550 132340554 183806325 198510831 220567590 330851385 367612650 397021662 551418975 661702770 992554155 1102837950 1162472891 1654256925 1985108310 2324945782 3308513850 3487418673 4962770775 5812364455 6974837346 9925541550 10462256019 11624728910 17437093365 20924512038 29061822275 31386768057 34874186730 52311280095 58123644550 62773536114 87185466825 94160304171 104622560190 156933840285 174370933650 188320608342 261556400475 282480912513 313867680570 470801520855 523112800950 564961825026 784669201425 941603041710 1412404562565 1569338402850 2354007604275 2824809125130 4708015208550 7062022812825 14124045625650