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2134232140410 = 233519739562963
BaseRepresentation
bin11111000011101010001…
…001100000101001111010
321120000211022022002211000
4133003222021200221322
5234431401411443120
64312241441345430
7310123155605136
oct37035211405172
97500738262730
102134232140410
11753139449717
122a5766038276
13126346188ba6
147542405a3c6
153a7b266d990
hex1f0ea260a7a

2134232140410 has 128 divisors (see below), whose sum is σ = 5998944384000. Its totient is φ = 538443878976.

The previous prime is 2134232140393. The next prime is 2134232140421. The reversal of 2134232140410 is 140412324312.

2134232140410 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 232 + 14 + 0 + 410 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3509589 + ... + 4072551.

It is an arithmetic number, because the mean of its divisors is an integer number (46866753000).

Almost surely, 22134232140410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134232140410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999472192000).

2134232140410 is an abundant number, since it is smaller than the sum of its proper divisors (3864712243590).

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

2134232140410 is a wasteful number, since it uses less digits than its factorization.

2134232140410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563737 (or 563731 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2134232140410 its reverse (140412324312), we get a palindrome (2274644464722).

The spelling of 2134232140410 in words is "two trillion, one hundred thirty-four billion, two hundred thirty-two million, one hundred forty thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 739 855 1026 1478 1710 2217 2565 3695 4434 5130 6651 7390 11085 13302 14041 19953 22170 28082 33255 39906 42123 66510 70205 84246 99765 126369 140410 199530 210615 252738 379107 421230 562963 631845 758214 1125926 1263690 1688889 1895535 2814815 3377778 3791070 5066667 5629630 8444445 10133334 10696297 15200001 16888890 21392594 25333335 30400002 32088891 50666670 53481485 64177782 76000005 96266673 106962970 152000010 160444455 192533346 288800019 320888910 416029657 481333365 577600038 832059314 962666730 1248088971 1444000095 2080148285 2496177942 2888000190 3744266913 4160296570 6240444855 7488533826 7904563483 11232800739 12480889710 15809126966 18721334565 22465601478 23713690449 37442669130 39522817415 47427380898 56164003695 71141071347 79045634830 112328007390 118568452245 142282142694 213423214041 237136904490 355705356735 426846428082 711410713470 1067116070205 2134232140410