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4331141320 = 2351127293607
BaseRepresentation
bin1000000100010011…
…11111100011001000
3102011211210202221111
410002021333203020
532332233010240
61553435220104
7212221044112
oct40211774310
912154722844
104331141320
1119228a8640
12a0a5a7634
13540403b1c
142d13123b2
151a53861ea
hex10227f8c8

4331141320 has 64 divisors (see below), whose sum is σ = 10637827200. Its totient is φ = 1573946880.

The previous prime is 4331141299. The next prime is 4331141359. The reversal of 4331141320 is 231411334.

It is a super-2 number, since 2×43311413202 = 37517570267622684800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4331141291 and 4331141300.

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, 1198957 + ... + 1202563.

It is an arithmetic number, because the mean of its divisors is an integer number (166216050).

Almost surely, 24331141320 is an apocalyptic number.

4331141320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4331141320 is an abundant number, since it is smaller than the sum of its proper divisors (6306685880).

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

4331141320 is a wasteful number, since it uses less digits than its factorization.

4331141320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6358 (or 6354 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 4331141320 is about 65811.4072178980. The cubic root of 4331141320 is about 1630.0494696868.

Adding to 4331141320 its reverse (231411334), we get a palindrome (4562552654).

It can be divided in two parts, 433114 and 1320, that added together give a palindrome (434434).

The spelling of 4331141320 in words is "four billion, three hundred thirty-one million, one hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2729 3607 5458 7214 10916 13645 14428 18035 21832 27290 28856 30019 36070 39677 54580 60038 72140 79354 109160 120076 144280 150095 158708 198385 240152 300190 317416 396770 600380 793540 1200760 1587080 9843503 19687006 39374012 49217515 78748024 98435030 108278533 196870060 216557066 393740120 433114132 541392665 866228264 1082785330 2165570660 4331141320