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214014242323024 = 241113269347723767
BaseRepresentation
bin110000101010010100010010…
…111000111111101001010000
31001001202120011111222222121021
4300222110102320333221100
5211022402132013314044
62035100441411005224
763036006301513003
oct6052242270775120
91031676144888537
10214014242323024
1162211a264a7030
1220005488899814
1392555c1aa6cb0
143abc4b780753a
1519b20054d9e84
hexc2a512e3fa50

214014242323024 has 80 divisors (see below), whose sum is σ = 488955253610880. Its totient is φ = 89462370516480.

The previous prime is 214014242323003. The next prime is 214014242323033. The reversal of 214014242323024 is 420323242410412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173246412 + ... + 174477355.

It is an arithmetic number, because the mean of its divisors is an integer number (6111940670136).

Almost surely, 2214014242323024 is an apocalyptic number.

It is an amenable number.

214014242323024 is an abundant number, since it is smaller than the sum of its proper divisors (274941011287856).

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

214014242323024 is a wasteful number, since it uses less digits than its factorization.

214014242323024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347724068 (or 347724062 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 214014242323024 its reverse (420323242410412), we get a palindrome (634337484733436).

The spelling of 214014242323024 in words is "two hundred fourteen trillion, fourteen billion, two hundred forty-two million, three hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 269 286 538 572 1076 1144 2152 2288 2959 3497 4304 5918 6994 11836 13988 23672 27976 38467 47344 55952 76934 153868 307736 615472 347723767 695447534 1390895068 2781790136 3824961437 4520408971 5563580272 7649922874 9040817942 15299845748 18081635884 30599691496 36163271768 49724498681 61199382992 72326543536 93537693323 99448997362 187075386646 198897994724 374150773292 397795989448 748301546584 795591978896 1028914626553 1215990013199 1496603093168 2057829253106 2431980026398 4115658506212 4863960052796 8231317012424 9727920105592 13375890145189 16462634024848 19455840211184 26751780290378 53503560580756 107007121161512 214014242323024