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314144241030132 = 223157401829150153
BaseRepresentation
bin100011101101101100110011…
…1111001010001001111110100
31112012021220012021211001222220
41013123121213321101033310
5312133414401200431012
63032043512205122340
7123112113100516242
oct10733314771211764
91465256167731886
10314144241030132
1191106908379a27
122b2973128593b0
13106398a0761126
14578093b869792
15264b92c96508c
hex11db667e513f4

314144241030132 has 96 divisors (see below), whose sum is σ = 739615561985664. Its totient is φ = 103773715968000.

The previous prime is 314144241030091. The next prime is 314144241030161. The reversal of 314144241030132 is 231030142441413.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 314144241030093 and 314144241030102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6263692768 + ... + 6263742920.

It is an arithmetic number, because the mean of its divisors is an integer number (7704328770684).

Almost surely, 2314144241030132 is an apocalyptic number.

It is an amenable number.

314144241030132 is an abundant number, since it is smaller than the sum of its proper divisors (425471320955532).

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

314144241030132 is a wasteful number, since it uses less digits than its factorization.

314144241030132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59009 (or 59007 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 314144241030132 its reverse (231030142441413), we get a palindrome (545174383471545).

The spelling of 314144241030132 in words is "three hundred fourteen trillion, one hundred forty-four billion, two hundred forty-one million, thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 157 314 401 471 628 802 942 1203 1604 1884 2406 4812 8291 16582 24873 33164 49746 50153 62957 99492 100306 125914 150459 188871 200612 251828 300918 377742 601836 755484 1301687 2603374 3324691 3905061 5206748 6649382 7810122 7874021 9974073 13298764 15620244 15748042 19948146 20111353 23622063 31496084 39896292 40222706 47244126 60334059 80445412 94488252 120668118 241336236 415818523 521976487 831637046 1043952974 1247455569 1565929461 1663274092 2087905948 2494911138 3131858922 3157482421 4989822276 6263717844 6314964842 9472447263 12629929684 18944894526 37889789052 65283508111 130567016222 166743227723 195850524333 261134032444 333486455446 391701048666 500229683169 666972910892 783402097332 1000459366338 2000918732676 26178686752511 52357373505022 78536060257533 104714747010044 157072120515066 314144241030132