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141351213630 = 235112772815503
BaseRepresentation
bin1000001110100100110…
…0000101101000111110
3111111212000020122101110
42003221030011220332
54303441402314010
6144534051022450
713132546330434
oct2035114055076
9444760218343
10141351213630
1154a46090a20
122348a29aa26
13104387bb8a3
146bacc80d54
153a2467b120
hex20e9305a3e

141351213630 has 128 divisors (see below), whose sum is σ = 372808728576. Its totient is φ = 34015564800.

The previous prime is 141351213623. The next prime is 141351213637. The reversal of 141351213630 is 36312153141.

It is an interprime number because it is at equal distance from previous prime (141351213623) and next prime (141351213637).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141351213637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25683459 + ... + 25688961.

It is an arithmetic number, because the mean of its divisors is an integer number (2912568192).

Almost surely, 2141351213630 is an apocalyptic number.

141351213630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141351213630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186404364288).

141351213630 is an abundant number, since it is smaller than the sum of its proper divisors (231457514946).

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

141351213630 is a wasteful number, since it uses less digits than its factorization.

141351213630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6082.

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 141351213630 its reverse (36312153141), we get a palindrome (177663366771).

The spelling of 141351213630 in words is "one hundred forty-one billion, three hundred fifty-one million, two hundred thirteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 277 281 330 554 562 831 843 1385 1405 1662 1686 2770 2810 3047 3091 4155 4215 5503 6094 6182 8310 8430 9141 9273 11006 15235 15455 16509 18282 18546 27515 30470 30910 33018 45705 46365 55030 60533 77837 82545 91410 92730 121066 155674 165090 181599 233511 302665 363198 389185 467022 605330 778370 856207 907995 1167555 1524331 1546343 1712414 1815990 2335110 2568621 3048662 3092686 4281035 4572993 4639029 5137242 7621655 7731715 8562070 9145986 9278058 12843105 15243310 15463430 16767641 17009773 22864965 23195145 25686210 33535282 34019546 45729930 46390290 50302923 51029319 83838205 85048865 100605846 102058638 167676410 170097730 251514615 255146595 428337011 503029230 510293190 856674022 1285011033 2141685055 2570022066 4283370110 4711707121 6425055165 9423414242 12850110330 14135121363 23558535605 28270242726 47117071210 70675606815 141351213630