Search a number
-
+
12415142120435 = 5232774577691109
BaseRepresentation
bin1011010010101010000000…
…1000101100101111110011
31121221212122121012220001122
42310222200020230233303
53111402202340323220
642223234302252455
72420651536554155
oct264524010545763
947855577186048
1012415142120435
113a5726107941a
121486179b8712b
136c09871474b2
1430cc78bdcad5
15167e2dd53425
hexb4aa022cbf3

12415142120435 has 64 divisors (see below), whose sum is σ = 15670630483200. Its totient is φ = 9424483909632.

The previous prime is 12415142120431. The next prime is 12415142120443. The reversal of 12415142120435 is 53402124151421.

It is not a de Polignac number, because 12415142120435 - 22 = 12415142120431 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12415142120395 and 12415142120404.

It is not an unprimeable number, because it can be changed into a prime (12415142120431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11194897661 + ... + 11194898769.

It is an arithmetic number, because the mean of its divisors is an integer number (244853601300).

Almost surely, 212415142120435 is an apocalyptic number.

12415142120435 is a deficient number, since it is larger than the sum of its proper divisors (3255488362765).

12415142120435 is a wasteful number, since it uses less digits than its factorization.

12415142120435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640.

The product of its (nonzero) digits is 38400, while the sum is 35.

Adding to 12415142120435 its reverse (53402124151421), we get a palindrome (65817266271856).

The spelling of 12415142120435 in words is "twelve trillion, four hundred fifteen billion, one hundred forty-two million, one hundred twenty thousand, four hundred thirty-five".

Divisors: 1 5 23 115 277 457 769 1109 1385 2285 3845 5545 6371 10511 17687 25507 31855 52555 88435 126589 127535 213013 307193 351433 506813 632945 852821 1065065 1535965 1757165 2534065 2911547 4264105 4899299 7065439 8082959 11656699 14557735 19614883 24496495 35327195 40414795 58283495 97346941 98074415 140387201 236231417 389739197 486734705 701936005 1181157085 1948695985 2238979643 3228905623 5433322591 8964001531 11194898215 16144528115 27166612955 44820007655 107957757569 539788787845 2483028424087 12415142120435