Search a number
-
+
240168394420 = 225531321171517
BaseRepresentation
bin1101111110101100100…
…1101101111010110100
3211221220202012112201021
43133223021231322310
512413331102110140
6302155402110524
723231411445433
oct3375311557264
9757822175637
10240168394420
1192944885489
123a667aab444
1319856240cb6
14b8a4ba511a
1563a9b20b4a
hex37eb26deb4

240168394420 has 48 divisors (see below), whose sum is σ = 514261733328. Its totient is φ = 94182865920.

The previous prime is 240168394399. The next prime is 240168394441. The reversal of 240168394420 is 24493861042.

It is an interprime number because it is at equal distance from previous prime (240168394399) and next prime (240168394441).

It can be written as a sum of positive squares in 8 ways, for example, as 91278911376 + 148889483044 = 302124^2 + 385862^2 .

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, 1314502 + ... + 1486018.

It is an arithmetic number, because the mean of its divisors is an integer number (10713786111).

Almost surely, 2240168394420 is an apocalyptic number.

240168394420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240168394420 is an abundant number, since it is smaller than the sum of its proper divisors (274093338908).

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

240168394420 is a wasteful number, since it uses less digits than its factorization.

240168394420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172900 (or 172898 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 240168394420 in words is "two hundred forty billion, one hundred sixty-eight million, three hundred ninety-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 1321 2642 5284 6605 13210 26420 70013 140026 171517 280052 343034 350065 686068 700130 857585 1400260 1715170 3430340 9090401 18180802 36361604 45452005 90904010 181808020 226573957 453147914 906295828 1132869785 2265739570 4531479140 12008419721 24016839442 48033678884 60042098605 120084197210 240168394420