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23230343022414 = 231123411669223637
BaseRepresentation
bin1010100100000101111000…
…10110000000011101001110
310001020210120112202201021020
411102002330112000131032
511021101220303204124
6121223512224015010
74615223361455133
oct522027426003516
9101223515681236
1023230343022414
117446a2a027840
122732242a61466
13cc67c55aa128
145a44d705258a
152a441b834379
hex1520bc58074e

23230343022414 has 128 divisors (see below), whose sum is σ = 54210709969920. Its totient is φ = 6565237324800.

The previous prime is 23230343022407. The next prime is 23230343022449. The reversal of 23230343022414 is 41422034303232.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 103763404 + ... + 103987040.

It is an arithmetic number, because the mean of its divisors is an integer number (423521171640).

Almost surely, 223230343022414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23230343022414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27105354984960).

23230343022414 is an abundant number, since it is smaller than the sum of its proper divisors (30980366947506).

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

23230343022414 is a wasteful number, since it uses less digits than its factorization.

23230343022414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225386.

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 23230343022414 its reverse (41422034303232), we get a palindrome (64652377325646).

The spelling of 23230343022414 in words is "twenty-three trillion, two hundred thirty billion, three hundred forty-three million, twenty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 23 33 41 46 66 69 82 123 138 246 253 451 506 759 902 943 1353 1518 1669 1886 2706 2829 3338 5007 5658 10014 10373 18359 20746 31119 36718 38387 55077 62238 68429 76774 110154 115161 136858 205287 223637 230322 410574 422257 447274 670911 752719 844514 1266771 1341822 1505438 1573867 2258157 2460007 2533542 3147734 4516314 4721601 4920014 5143651 7380021 9169117 9443202 10287302 14760042 15430953 17312537 18338234 27507351 30861906 34625074 51937611 55014702 56580161 100860287 103875222 113160322 169740483 201720574 210889691 302580861 339480966 373250153 421779382 605161722 632669073 746500306 1119750459 1265338146 2239500918 2319786601 4105751683 4639573202 6959359803 8211503366 8584753519 12317255049 13918719606 15303256273 17169507038 24634510098 25754260557 30606512546 45909768819 51508521114 91819537638 94432288709 168335819003 188864577418 283296866127 336671638006 351974894279 505007457009 566593732254 703949788558 1010014914018 1055924682837 2111849365674 3871723837069 7743447674138 11615171511207 23230343022414