Search a number
-
+
141414131112024 = 233193110003829309
BaseRepresentation
bin100000001001110110001011…
…000011010001100001011000
3200112201001120221102012112110
4200021312023003101201120
5122013412120031041044
61220432431024312320
741533555666306341
oct4011661303214130
9615631527365473
10141414131112024
114107143a399111
1213a3b00a4726a0
1360ba3abb41104
1426cc6a257d0c8
15115378d02c6b9
hex809d8b0d1858

141414131112024 has 64 divisors (see below), whose sum is σ = 384147045504000. Its totient is φ = 43216542610560.

The previous prime is 141414131111989. The next prime is 141414131112071. The reversal of 141414131112024 is 420211131414141.

It is a junction number, because it is equal to n+sod(n) for n = 141414131111982 and 141414131112000.

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, 5001900519 + ... + 5001928790.

It is an arithmetic number, because the mean of its divisors is an integer number (6002297586000).

Almost surely, 2141414131112024 is an apocalyptic number.

It is an amenable number.

141414131112024 is an abundant number, since it is smaller than the sum of its proper divisors (242732914391976).

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

141414131112024 is a wasteful number, since it uses less digits than its factorization.

141414131112024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10003829368 (or 10003829364 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

Adding to 141414131112024 its reverse (420211131414141), we get a palindrome (561625262526165).

The spelling of 141414131112024 in words is "one hundred forty-one trillion, four hundred fourteen billion, one hundred thirty-one million, one hundred twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 372 456 589 744 1178 1767 2356 3534 4712 7068 14136 10003829309 20007658618 30011487927 40015317236 60022975854 80030634472 120045951708 190072756871 240091903416 310118708579 380145513742 570218270613 620237417158 760291027484 930356125737 1140436541226 1240474834316 1520582054968 1860712251474 2280873082452 2480949668632 3721424502948 4561746164904 5892255463001 7442849005896 11784510926002 17676766389003 23569021852004 35353532778006 47138043704008 70707065556012 141414131112024