Search a number
-
+
2420145160480 = 25551473293861
BaseRepresentation
bin100011001101111011111…
…001001000000100100000
322120100211002002101221201
4203031323321020010200
5304122424130113410
65051444353530544
7336564311305255
oct43157371100440
98510732071851
102420145160480
11853417939443
12331059873a54
131472ac6734c8
14851c832342c
1542e4826783a
hex2337be48120

2420145160480 has 48 divisors (see below), whose sum is σ = 5717723478264. Its totient is φ = 968035962880.

The previous prime is 2420145160403. The next prime is 2420145160487. The reversal of 2420145160480 is 840615410242.

It can be written as a sum of positive squares in 4 ways, for example, as 1291595882256 + 1128549278224 = 1136484^2 + 1062332^2 .

It is not an unprimeable number, because it can be changed into a prime (2420145160487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8088750 + ... + 8382610.

Almost surely, 22420145160480 is an apocalyptic number.

2420145160480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420145160480 is an abundant number, since it is smaller than the sum of its proper divisors (3297578317784).

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

2420145160480 is a wasteful number, since it uses less digits than its factorization.

2420145160480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345349 (or 345341 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 2420145160480 in words is "two trillion, four hundred twenty billion, one hundred forty-five million, one hundred sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 51473 102946 205892 257365 293861 411784 514730 587722 823568 1029460 1175444 1469305 1647136 2058920 2350888 2938610 4117840 4701776 5877220 8235680 9403552 11754440 23508880 47017760 15125907253 30251814506 60503629012 75629536265 121007258024 151259072530 242014516048 302518145060 484029032096 605036290120 1210072580240 2420145160480