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1143431344314 = 232736794726111
BaseRepresentation
bin10000101000111001110…
…100011011000010111010
311001022101200210122201200
4100220321310123002322
5122213221411004224
62233141325555030
7145416203030430
oct20507164330272
94038350718650
101143431344314
11400a21203886
12165730a15a76
1383a95a0948c
143d4b1680d50
151eb238325c9
hex10a39d1b0ba

1143431344314 has 96 divisors (see below), whose sum is σ = 2842175471616. Its totient is φ = 325447990560.

The previous prime is 1143431344283. The next prime is 1143431344333. The reversal of 1143431344314 is 4134431343411.

1143431344314 is a `hidden beast` number, since 1 + 143 + 431 + 34 + 43 + 14 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43778119 + ... + 43804229.

It is an arithmetic number, because the mean of its divisors is an integer number (29605994496).

Almost surely, 21143431344314 is an apocalyptic number.

1143431344314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1143431344314 is an abundant number, since it is smaller than the sum of its proper divisors (1698744127302).

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

1143431344314 is a wasteful number, since it uses less digits than its factorization.

1143431344314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27440 (or 27437 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 1143431344314 its reverse (4134431343411), we get a palindrome (5277862687725).

The spelling of 1143431344314 in words is "one trillion, one hundred forty-three billion, four hundred thirty-one million, three hundred forty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 367 734 947 1101 1894 2202 2569 2841 3303 5138 5682 6606 6629 7707 8523 13258 15414 17046 19887 23121 26111 39774 46242 52222 59661 78333 119322 156666 182777 234999 347549 365554 469998 548331 695098 1042647 1096662 1644993 2085294 2432843 3127941 3289986 4865686 6255882 7298529 9582737 14597058 19165474 21895587 24727117 28748211 43791174 49454234 57496422 67079159 74181351 86244633 134158318 148362702 172489266 173089819 201237477 222544053 346179638 402474954 445088106 519269457 603712431 1038538914 1207424862 1557808371 3115616742 9074851939 18149703878 27224555817 54449111634 63523963573 81673667451 127047927146 163347334902 190571890719 381143781438 571715672157 1143431344314