Search a number
-
+
145505502120 = 233511110231441
BaseRepresentation
bin1000011110000011001…
…1011100001110101000
3111220120112021100212010
42013200303130032220
54340443402031440
6150502211515520
713340522234616
oct2074063341650
9456515240763
10145505502120
11567880763a0
12242495b8ba0
131094b381164
1470848b86b6
153bb922b580
hex21e0cdc3a8

145505502120 has 64 divisors (see below), whose sum is σ = 476199829440. Its totient is φ = 35274060800.

The previous prime is 145505502113. The next prime is 145505502139. The reversal of 145505502120 is 21205505541.

It is a super-2 number, since 2×1455055021202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 55114401 + ... + 55117040.

It is an arithmetic number, because the mean of its divisors is an integer number (7440622335).

Almost surely, 2145505502120 is an apocalyptic number.

145505502120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145505502120 is an abundant number, since it is smaller than the sum of its proper divisors (330694327320).

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

145505502120 is a wasteful number, since it uses less digits than its factorization.

145505502120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110231466 (or 110231462 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The spelling of 145505502120 in words is "one hundred forty-five billion, five hundred five million, five hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 110231441 220462882 330694323 440925764 551157205 661388646 881851528 1102314410 1212545851 1322777292 1653471615 2204628820 2425091702 2645554584 3306943230 3637637553 4409257640 4850183404 6062729255 6613886460 7275275106 9700366808 12125458510 13227772920 14550550212 18188187765 24250917020 29101100424 36376375530 48501834040 72752751060 145505502120