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314032112440002 = 2321124172647247901
BaseRepresentation
bin100011101100111000100110…
…0100000101001001011000010
31112011220011202212002111220100
41013121301030200221023002
5312130100231241040002
63031520205540223230
7123101033331314535
oct10731611440511302
91464804685074810
10314032112440002
11910732a8743620
122b27963b09ab16
131062c141276048
145779341ab6a1c
152648a68a5911c
hex11d9c4c8292c2

314032112440002 has 96 divisors (see below), whose sum is σ = 742848346341504. Its totient is φ = 95085555264000.

The previous prime is 314032112439979. The next prime is 314032112440063. The reversal of 314032112440002 is 200044211230413.

314032112440002 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 3 + 211 + 2 + 440 + 0 + 0 + 2 = 666.

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, 1266640252 + ... + 1266888152.

It is an arithmetic number, because the mean of its divisors is an integer number (7738003607724).

Almost surely, 2314032112440002 is an apocalyptic number.

314032112440002 is an abundant number, since it is smaller than the sum of its proper divisors (428816233901502).

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

314032112440002 is a wasteful number, since it uses less digits than its factorization.

314032112440002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252984 (or 252981 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 314032112440002 its reverse (200044211230413), we get a palindrome (514076323670415).

The spelling of 314032112440002 in words is "three hundred fourteen trillion, thirty-two billion, one hundred twelve million, four hundred forty thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 2417 2647 4834 5294 7251 7941 14502 15882 21753 23823 26587 29117 43506 47646 53174 58234 79761 87351 159522 174702 239283 247901 262053 478566 495802 524106 743703 1487406 2231109 2726911 4462218 5453822 6397799 8180733 12795598 16361466 19193397 24542199 38386794 49084398 57580191 70375789 115160382 140751578 211127367 422254734 599176717 633382101 656193947 1198353434 1266764202 1312387894 1797530151 1968581841 3595060302 3937163682 5392590453 5905745523 6590943887 7218133417 10785180906 11811491046 13181887774 14436266834 19772831661 21654400251 39545663322 43308800502 59318494983 64963200753 118636989966 129926401506 1586020769899 3172041539798 4758062309697 9516124619394 14274186929091 17446228468889 28548373858182 34892456937778 52338685406667 104677370813334 157016056220001 314032112440002