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244001333214324 = 223272957158473293
BaseRepresentation
bin110111011110101011111100…
…110010100111110001110100
31011222221022002102221002001100
4313132223330302213301310
5223440204212300324244
62222540355351130100
7102252341333461620
oct6736537462476164
91158838072832040
10244001333214324
1170823425552704
1223449114973930
13a61c2c491908a
144437a28528180
151d3207bd17b69
hexddeafcca7c74

244001333214324 has 144 divisors (see below), whose sum is σ = 730476455829120. Its totient is φ = 67192829303040.

The previous prime is 244001333214313. The next prime is 244001333214343. The reversal of 244001333214324 is 423412333100442.

244001333214324 is a `hidden beast` number, since 2 + 4 + 4 + 0 + 0 + 1 + 3 + 3 + 321 + 4 + 324 = 666.

It is a super-2 number, since 2×2440013332143242 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25063779 + ... + 33409514.

It is an arithmetic number, because the mean of its divisors is an integer number (5072753165480).

Almost surely, 2244001333214324 is an apocalyptic number.

It is an amenable number.

244001333214324 is an abundant number, since it is smaller than the sum of its proper divisors (486475122614796).

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

244001333214324 is a wasteful number, since it uses less digits than its factorization.

244001333214324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58473910 (or 58473905 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 244001333214324 its reverse (423412333100442), we get a palindrome (667413666314766).

The spelling of 244001333214324 in words is "two hundred forty-four trillion, one billion, three hundred thirty-three million, two hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 571 609 812 1044 1142 1218 1713 1827 2284 2436 3426 3654 3997 5139 6852 7308 7994 10278 11991 15988 16559 20556 23982 33118 35973 47964 49677 66236 71946 99354 115913 143892 149031 198708 231826 298062 347739 463652 596124 695478 1043217 1390956 2086434 4172868 58473293 116946586 175419879 233893172 350839758 409313051 526259637 701679516 818626102 1052519274 1227939153 1637252204 1695725497 2105038548 2455878306 3391450994 3683817459 4911756612 5087176491 6782901988 7367634918 10174352982 11870078479 14735269836 15261529473 20348705964 23740156958 30523058946 33388250303 35610235437 47480313916 61046117892 66776500606 71220470874 100164750909 106830706311 133553001212 142440941748 200329501818 213661412622 233717752121 300494252727 400659003636 427322825244 467435504242 600988505454 701153256363 934871008484 968259258787 1201977010908 1402306512726 1936518517574 2103459769089 2804613025452 2904777776361 3873037035148 4206919538178 5809555552722 6777814811509 8413839076356 8714333329083 11619111105444 13555629623018 17428666658166 20333444434527 27111259246036 34857333316332 40666888869054 61000333303581 81333777738108 122000666607162 244001333214324