Search a number
-
+
4342140120 = 2335471495167
BaseRepresentation
bin1000000101100111…
…11100110011011000
3102012121111120110110
410002303330303120
532343041440440
61554511044320
7212413403433
oct40263746330
912177446413
104342140120
11192903015a
12a122106a0
135427851a6
142d297681a
151a630a080
hex102cfccd8

4342140120 has 128 divisors (see below), whose sum is σ = 13395456000. Its totient is φ = 1125444096.

The previous prime is 4342140109. The next prime is 4342140197. The reversal of 4342140120 is 210412434.

It is a super-2 number, since 2×43421401202 = 37708361643427228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 837777 + ... + 842943.

It is an arithmetic number, because the mean of its divisors is an integer number (104652000).

Almost surely, 24342140120 is an apocalyptic number.

4342140120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4342140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6697728000).

4342140120 is an abundant number, since it is smaller than the sum of its proper divisors (9053315880).

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

4342140120 is a wasteful number, since it uses less digits than its factorization.

4342140120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5377 (or 5373 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4342140120 is about 65894.9172546715. The cubic root of 4342140120 is about 1631.4281234713.

Adding to 4342140120 its reverse (210412434), we get a palindrome (4552552554).

The spelling of 4342140120 in words is "four billion, three hundred forty-two million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 149 188 235 282 298 376 447 470 564 596 705 745 894 940 1128 1192 1410 1490 1788 1880 2235 2820 2980 3576 4470 5167 5640 5960 7003 8940 10334 14006 15501 17880 20668 21009 25835 28012 31002 35015 41336 42018 51670 56024 62004 70030 77505 84036 103340 105045 124008 140060 155010 168072 206680 210090 242849 280120 310020 420180 485698 620040 728547 769883 840360 971396 1214245 1457094 1539766 1942792 2309649 2428490 2914188 3079532 3642735 3849415 4619298 4856980 5828376 6159064 7285470 7698830 9238596 9713960 11548245 14570940 15397660 18477192 23096490 29141880 30795320 36184501 46192980 72369002 92385960 108553503 144738004 180922505 217107006 289476008 361845010 434214012 542767515 723690020 868428024 1085535030 1447380040 2171070060 4342140120