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141431330320 = 2457331116573
BaseRepresentation
bin1000001110110111110…
…1101101011000010000
3111112001120222222211021
42003231331231120100
54304122410032240
6144550032125224
713134541321000
oct2035575553020
9445046888737
10141431330320
1154a87331865
12234b1096814
131044c290107
146bb9778000
153a2b70454a
hex20edf6d610

141431330320 has 160 divisors (see below), whose sum is σ = 384728947200. Its totient is φ = 48331906560.

The previous prime is 141431330317. The next prime is 141431330329. The reversal of 141431330320 is 23033134141.

141431330320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (141431330329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8525554 + ... + 8542126.

It is an arithmetic number, because the mean of its divisors is an integer number (2404555920).

Almost surely, 2141431330320 is an apocalyptic number.

141431330320 is a gapful number since it is divisible by the number (10) 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 141431330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192364473600).

141431330320 is an abundant number, since it is smaller than the sum of its proper divisors (243297616880).

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

141431330320 is a wasteful number, since it uses less digits than its factorization.

141431330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16918 (or 16898 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 141431330320 its reverse (23033134141), we get a palindrome (164464464461).

The spelling of 141431330320 in words is "one hundred forty-one billion, four hundred thirty-one million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 311 343 392 490 560 622 686 784 980 1244 1372 1555 1715 1960 2177 2488 2744 3110 3430 3920 4354 4976 5488 6220 6860 8708 10885 12440 13720 15239 16573 17416 21770 24880 27440 30478 33146 34832 43540 60956 66292 76195 82865 87080 106673 116011 121912 132584 152390 165730 174160 213346 232022 243824 265168 304780 331460 426692 464044 533365 580055 609560 662920 812077 853384 928088 1066730 1160110 1219120 1325840 1624154 1706768 1856176 2133460 2320220 3248308 4060385 4266920 4640440 5154203 5684539 6496616 8120770 8533840 9280880 10308406 11369078 12993232 16241540 20616812 22738156 25771015 28422695 32483080 36079421 41233624 45476312 51542030 56845390 64966160 72158842 82467248 90952624 103084060 113690780 144317684 180397105 206168120 227381560 252555947 288635368 360794210 412336240 454763120 505111894 577270736 721588420 1010223788 1262779735 1443176840 1767891629 2020447576 2525559470 2886353680 3535783258 4040895152 5051118940 7071566516 8839458145 10102237880 14143133032 17678916290 20204475760 28286266064 35357832580 70715665160 141431330320