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342241114410 = 233513239407969
BaseRepresentation
bin1001111101011110010…
…10001111100100101010
31012201101101000222021000
410332233022033210222
521101402211130120
6421120130455430
733504024321366
oct4765712174452
91181341028230
10342241114410
11122164206808
12563b3a34576
13263722a9670
14127c92102a6
158d80cd4990
hex4faf28f92a

342241114410 has 128 divisors (see below), whose sum is σ = 986961024000. Its totient is φ = 83891275776.

The previous prime is 342241114393. The next prime is 342241114441. The reversal of 342241114410 is 14411142243.

342241114410 is a `hidden beast` number, since 3 + 4 + 2 + 241 + 1 + 1 + 4 + 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, 634906 + ... + 1042874.

It is an arithmetic number, because the mean of its divisors is an integer number (7710633000).

Almost surely, 2342241114410 is an apocalyptic number.

342241114410 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 342241114410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493480512000).

342241114410 is an abundant number, since it is smaller than the sum of its proper divisors (644719909590).

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

342241114410 is a wasteful number, since it uses less digits than its factorization.

342241114410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408237 (or 408231 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 342241114410 its reverse (14411142243), we get a palindrome (356652256653).

The spelling of 342241114410 in words is "three hundred forty-two billion, two hundred forty-one million, one hundred fourteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 239 270 351 390 478 585 702 717 1170 1195 1434 1755 2151 2390 3107 3510 3585 4302 6214 6453 7170 9321 10755 12906 15535 18642 21510 27963 31070 32265 46605 55926 64530 83889 93210 139815 167778 279630 407969 419445 815938 838890 1223907 2039845 2447814 3671721 4079690 5303597 6119535 7343442 10607194 11015163 12239070 15910791 18358605 22030326 26517985 31821582 36717210 47732373 53035970 55075815 79553955 95464746 97504591 110151630 143197119 159107910 195009182 238661865 286394238 292513773 477323730 487522955 585027546 715985595 877541319 975045910 1267559683 1431971190 1462568865 1755082638 2535119366 2632623957 2925137730 3802679049 4387706595 5265247914 6337798415 7605358098 8775413190 11408037147 12675596830 13163119785 19013395245 22816074294 26326239570 34224111441 38026790490 57040185735 68448222882 114080371470 171120557205 342241114410