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334142231520 = 25353112238359
BaseRepresentation
bin1001101110011000110…
…11011101001111100000
31011221110221120002112110
410313030123131033200
520433310402402040
6413300335355320
733066233051046
oct4671433351740
91157427502473
10334142231520
11119788640169
1254913682b40
1325681424376
141225b766396
158a59ca5980
hex4dcc6dd3e0

334142231520 has 96 divisors (see below), whose sum is σ = 1055932899840. Its totient is φ = 88818045440.

The previous prime is 334142231471. The next prime is 334142231543. The reversal of 334142231520 is 25132241433.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3341422315202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 969900 + ... + 1268459.

It is an arithmetic number, because the mean of its divisors is an integer number (10999301040).

Almost surely, 2334142231520 is an apocalyptic number.

334142231520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334142231520 is an abundant number, since it is smaller than the sum of its proper divisors (721790668320).

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

334142231520 is a wasteful number, since it uses less digits than its factorization.

334142231520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238688 (or 2238680 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 334142231520 its reverse (25132241433), we get a palindrome (359274472953).

The spelling of 334142231520 in words is "three hundred thirty-four billion, one hundred forty-two million, two hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 311 480 622 933 1244 1555 1866 2488 3110 3732 4665 4976 6220 7464 9330 9952 12440 14928 18660 24880 29856 37320 49760 74640 149280 2238359 4476718 6715077 8953436 11191795 13430154 17906872 22383590 26860308 33575385 35813744 44767180 53720616 67150770 71627488 89534360 107441232 134301540 179068720 214882464 268603080 358137440 537206160 696129649 1074412320 1392259298 2088388947 2784518596 3480648245 4176777894 5569037192 6961296490 8353555788 10441944735 11138074384 13922592980 16707111576 20883889470 22276148768 27845185960 33414223152 41767778940 55690371920 66828446304 83535557880 111380743840 167071115760 334142231520