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2334034140420 = 2235476089135929
BaseRepresentation
bin100001111101101111010…
…001101001110100000100
322021010112212000100101110
4201331233101221310010
5301220100214443140
64544123535525020
7330425353564533
oct41755721516404
98233485010343
102334034140420
1181a949473564
12318427389770
1313c1384711b8
1480d79b1a31a
1540aa8531380
hex21f6f469d04

2334034140420 has 96 divisors (see below), whose sum is σ = 6675489676800. Its totient is φ = 609061832704.

The previous prime is 2334034140391. The next prime is 2334034140457. The reversal of 2334034140420 is 240414304332.

It is a happy number.

2334034140420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23340341404202 (a number of 26 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17103016 + ... + 17238944.

It is an arithmetic number, because the mean of its divisors is an integer number (69536350800).

Almost surely, 22334034140420 is an apocalyptic number.

2334034140420 is a gapful number since it is divisible by the number (20) 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 2334034140420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337744838400).

2334034140420 is an abundant number, since it is smaller than the sum of its proper divisors (4341455536380).

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

2334034140420 is a wasteful number, since it uses less digits than its factorization.

2334034140420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142077 (or 142075 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 2334034140420 its reverse (240414304332), we get a palindrome (2574448444752).

The spelling of 2334034140420 in words is "two trillion, three hundred thirty-four billion, thirty-four million, one hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 6089 12178 18267 24356 30445 36534 60890 73068 91335 121780 135929 182670 271858 286183 365340 407787 543716 572366 679645 815574 858549 1144732 1359290 1430915 1631148 1717098 2038935 2718580 2861830 3434196 4077870 4292745 5723660 6388663 8155740 8585490 12777326 17170980 19165989 25554652 31943315 38331978 63886630 76663956 95829945 127773260 191659890 383319780 827671681 1655343362 2483015043 3310686724 4138358405 4966030086 8276716810 9932060172 12415075215 16553433620 24830150430 38900569007 49660300860 77801138014 116701707021 155602276028 194502845035 233403414042 389005690070 466806828084 583508535105 778011380140 1167017070210 2334034140420