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332142141030 = 235741137281579
BaseRepresentation
bin1001101010101010011…
…01101101111001100110
31011202022120000222011220
410311111031231321212
520420211342003110
6412330050441210
732665535421330
oct4652515557146
91152276028156
10332142141030
11118951641617
1254455893206
1325422c47a7b
141210bc86450
15898e3c6370
hex4d5536de66

332142141030 has 128 divisors (see below), whose sum is σ = 940053703680. Its totient is φ = 73525647360.

The previous prime is 332142141029. The next prime is 332142141031. The reversal of 332142141030 is 30141241233.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (332142141029) and next prime (332142141031).

It is a super-2 number, since 2×3321421410302 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332142141031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1038781 + ... + 1320359.

It is an arithmetic number, because the mean of its divisors is an integer number (7344169560).

Almost surely, 2332142141030 is an apocalyptic number.

332142141030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 332142141030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470026851840).

332142141030 is an abundant number, since it is smaller than the sum of its proper divisors (607911562650).

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

332142141030 is a wasteful number, since it uses less digits than its factorization.

332142141030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281774.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 332142141030 its reverse (30141241233), we get a palindrome (362283382263).

The spelling of 332142141030 in words is "three hundred thirty-two billion, one hundred forty-two million, one hundred forty-one thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 137 205 210 246 274 287 410 411 574 615 685 822 861 959 1230 1370 1435 1722 1918 2055 2870 2877 4110 4305 4795 5617 5754 8610 9590 11234 14385 16851 28085 28770 33702 39319 56170 78638 84255 117957 168510 196595 235914 281579 393190 563158 589785 844737 1179570 1407895 1689474 1971053 2815790 3942106 4223685 5913159 8447370 9855265 11544739 11826318 19710530 23089478 29565795 34634217 38576323 57723695 59131590 69268434 77152646 80813173 115447390 115728969 161626346 173171085 192881615 231457938 242439519 270034261 346342170 385763230 404065865 484879038 540068522 578644845 808131730 810102783 1157289690 1212197595 1350171305 1581629243 1620205566 2424395190 2700342610 3163258486 4050513915 4744887729 7908146215 8101027830 9489775458 11071404701 15816292430 22142809402 23724438645 33214214103 47448877290 55357023505 66428428206 110714047010 166071070515 332142141030