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34114442061245 = 5713611777691687
BaseRepresentation
bin1111100000110111000110…
…01100110110010110111101
311110210022100010022112021012
413300123203030312112331
513432412334131424440
6200315542555445005
710120454451022550
oct760334314662675
9143708303275235
1034114442061245
11a962943200127
1239ab735756765
131605c93b03690
1485d20d816697
153e25dcd22e65
hex1f06e33365bd

34114442061245 has 64 divisors (see below), whose sum is σ = 51239273143296. Its totient is φ = 21227345326080.

The previous prime is 34114442061241. The next prime is 34114442061289. The reversal of 34114442061245 is 54216024441143.

It is not a de Polignac number, because 34114442061245 - 22 = 34114442061241 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34114442061241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48974792 + ... + 49666478.

It is an arithmetic number, because the mean of its divisors is an integer number (800613642864).

Almost surely, 234114442061245 is an apocalyptic number.

34114442061245 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34114442061245 is a deficient number, since it is larger than the sum of its proper divisors (17124831082051).

34114442061245 is a wasteful number, since it uses less digits than its factorization.

34114442061245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693550.

The product of its (nonzero) digits is 368640, while the sum is 41.

The spelling of 34114442061245 in words is "thirty-four trillion, one hundred fourteen billion, four hundred forty-two million, sixty-one thousand, two hundred forty-five".

Divisors: 1 5 7 13 35 61 65 91 305 427 455 793 1777 2135 3965 5551 8885 12439 23101 27755 62195 108397 115505 161707 541985 691687 758779 808535 1409161 3458435 3793895 4841809 7045805 8991931 9864127 24209045 42192907 44959655 49320635 62943517 210964535 295350349 314717585 548507791 1229127799 1476751745 2742538955 3839554537 6145638995 8603894593 15978661387 19197772685 43019472965 74976795739 79893306935 111850629709 374883978695 524837570173 559253148545 974698344607 2624187850865 4873491723035 6822888412249 34114442061245