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244023132305214 = 233197315137215239
BaseRepresentation
bin110111011111000000010000…
…000111100011011100111110
31012000000101100122202122001000
4313133000100013203130332
5223441033333332231324
62222554402425231130
7102254042462625513
oct6737002007433476
91160011318678030
10244023132305214
11708316a15752a9
12234513993324a6
13a621389c56022
144438ad572b30a
151d329059ac9c9
hexddf0101e373e

244023132305214 has 128 divisors (see below), whose sum is σ = 578674634112000. Its totient is φ = 75998946760704.

The previous prime is 244023132305189. The next prime is 244023132305243. The reversal of 244023132305214 is 412503231320442.

244023132305214 is a `hidden beast` number, since 2 + 4 + 4 + 0 + 2 + 3 + 132 + 305 + 214 = 666.

It is a congruent number.

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, 1133623407 + ... + 1133838645.

It is an arithmetic number, because the mean of its divisors is an integer number (4520895579000).

Almost surely, 2244023132305214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244023132305214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289337317056000).

244023132305214 is an abundant number, since it is smaller than the sum of its proper divisors (334651501806786).

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

244023132305214 is a wasteful number, since it uses less digits than its factorization.

244023132305214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230479 (or 230473 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 244023132305214 its reverse (412503231320442), we get a palindrome (656526363625656).

The spelling of 244023132305214 in words is "two hundred forty-four trillion, twenty-three billion, one hundred thirty-two million, three hundred five thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 73 114 146 171 219 342 438 513 657 1026 1314 1387 1971 2774 3942 4161 8322 12483 15137 24966 30274 37449 45411 74898 90822 136233 215239 272466 287603 408699 430478 575206 645717 817398 862809 1105001 1291434 1725618 1937151 2210002 2588427 3315003 3874302 4089541 5176854 5811453 6630006 7765281 8179082 9945009 11622906 12268623 15530562 15712447 19890018 20995019 24537246 29835027 31424894 36805869 41990038 47137341 59670054 62985057 73611738 94274682 110417607 125970114 141412023 188955171 220835214 282824046 298536493 377910342 424236069 566865513 597072986 848472138 895609479 1133731026 1791218958 2686828437 3258072743 5373656874 6516145486 8060485311 9774218229 16120970622 19548436458 29322654687 58645309374 61903382117 87967964061 123806764234 175935928122 185710146351 237839310239 371420292702 475678620478 557130439053 713517930717 1114260878106 1427035861434 1671391317159 2140553792151 3342782634318 4281107584302 4518946894541 6421661376453 9037893789082 12843322752906 13556840683623 27113681367246 40670522050869 81341044101738 122011566152607 244023132305214