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1353416141214 = 23210110926325969
BaseRepresentation
bin10011101100011101111…
…000110110100110011110
311210101101220020120121200
4103230131320312212132
5134133244013004324
62513430100540330
7166531625246454
oct23543570664636
94711356216550
101353416141214
11481a87145745
1219a3743b16a6
139a81b821ba7
14497118889d4
152531365eec9
hex13b1de3699e

1353416141214 has 96 divisors (see below), whose sum is σ = 3000083486400. Its totient is φ = 440874316800.

The previous prime is 1353416141159. The next prime is 1353416141239. The reversal of 1353416141214 is 4121416143531.

1353416141214 is a `hidden beast` number, since 1 + 3 + 5 + 34 + 1 + 614 + 1 + 2 + 1 + 4 = 666.

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, 52103622 + ... + 52129590.

It is an arithmetic number, because the mean of its divisors is an integer number (31250869650).

Almost surely, 21353416141214 is an apocalyptic number.

1353416141214 is an abundant number, since it is smaller than the sum of its proper divisors (1646667345186).

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

1353416141214 is a wasteful number, since it uses less digits than its factorization.

1353416141214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26450 (or 26447 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 1353416141214 in words is "one trillion, three hundred fifty-three billion, four hundred sixteen million, one hundred forty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 101 109 202 218 263 303 327 526 606 654 789 909 981 1578 1818 1962 2367 4734 11009 22018 25969 26563 28667 33027 51938 53126 57334 66054 77907 79689 86001 99081 155814 159378 172002 198162 233721 239067 258003 467442 478134 516006 2622869 2830621 2895367 5245738 5661242 5790734 6829847 7868607 8491863 8686101 13659694 15737214 16983726 17372202 20489541 23605821 25475589 26058303 40979082 47211642 50951178 52116606 61468623 122937246 285892721 571785442 689814547 744453323 857678163 1379629094 1488906646 1715356326 2069443641 2233359969 2573034489 4138887282 4466719938 5146068978 6208330923 6700079907 12416661846 13400159814 75189785623 150379571246 225569356869 451138713738 676708070607 1353416141214