Search a number
-
+
145225124055 = 32511676916337
BaseRepresentation
bin1000011101000000010…
…1111000100011010111
3111212211222200200110100
42013100011320203113
54334410112432210
6150414314225143
713330546121064
oct2072005704327
9455758620410
10145225124055
1156653884190
122418b7251b3
131090526368b
147059571c6b
153b9e7e65c0
hex21d01788d7

145225124055 has 96 divisors (see below), whose sum is σ = 279153508608. Its totient is φ = 69249945600.

The previous prime is 145225124047. The next prime is 145225124111. The reversal of 145225124055 is 550421522541.

145225124055 is a `hidden beast` number, since 1 + 4 + 52 + 2 + 512 + 40 + 55 = 666.

It is not a de Polignac number, because 145225124055 - 23 = 145225124047 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22913847 + ... + 22920183.

It is an arithmetic number, because the mean of its divisors is an integer number (2907849048).

Almost surely, 2145225124055 is an apocalyptic number.

145225124055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145225124055 is a deficient number, since it is larger than the sum of its proper divisors (133928384553).

145225124055 is a wasteful number, since it uses less digits than its factorization.

145225124055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7117 (or 7114 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

Adding to 145225124055 its reverse (550421522541), we get a palindrome (695646646596).

The spelling of 145225124055 in words is "one hundred forty-five billion, two hundred twenty-five million, one hundred twenty-four thousand, fifty-five".

Divisors: 1 3 5 9 11 15 33 45 55 67 99 165 201 335 495 603 691 737 1005 2073 2211 3015 3455 3685 6219 6337 6633 7601 10365 11055 19011 22803 31095 31685 33165 38005 46297 57033 68409 69707 95055 114015 138891 209121 231485 285165 342045 348535 416673 424579 509267 627363 694455 1045605 1273737 1527801 2083365 2122895 2546335 3136815 3821211 4378867 4583403 4670369 6368685 7639005 13136601 14011107 19106055 21894335 22917015 23351845 39409803 42033321 48167537 65683005 70055535 144502611 197049015 210166605 240837685 293384089 433507833 722513055 880152267 1466920445 2167539165 2640456801 3227224979 4400761335 9681674937 13202284005 16136124895 29045024811 48408374685 145225124055