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34339511421396 = 22332631381875429
BaseRepresentation
bin1111100111011010010100…
…11000010100100111010100
311111120211021121000122211000
413303231022120110213110
514000104304410441041
6201011204225143300
710142643051021246
oct763551230244724
9144524247018730
1034339511421396
11aa3a339a71695
123a27288a8ab30
131621281b3256c
1486a081178096
153e83b20babb6
hex1f3b4a6149d4

34339511421396 has 96 divisors (see below), whose sum is σ = 89431687699200. Its totient is φ = 11394710916480.

The previous prime is 34339511421379. The next prime is 34339511421409. The reversal of 34339511421396 is 69312411593343.

34339511421396 is a `hidden beast` number, since 3 + 4 + 3 + 39 + 511 + 4 + 2 + 1 + 3 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38788210 + ... + 39663638.

It is an arithmetic number, because the mean of its divisors is an integer number (931580080200).

Almost surely, 234339511421396 is an apocalyptic number.

34339511421396 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34339511421396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44715843849600).

34339511421396 is an abundant number, since it is smaller than the sum of its proper divisors (55092176277804).

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

34339511421396 is a wasteful number, since it uses less digits than its factorization.

34339511421396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877086 (or 877078 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 54.

The spelling of 34339511421396 in words is "thirty-four trillion, three hundred thirty-nine billion, five hundred eleven million, four hundred twenty-one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 263 526 789 1052 1381 1578 2367 2762 3156 4143 4734 5524 7101 8286 9468 12429 14202 16572 24858 28404 37287 49716 74574 149148 363203 726406 875429 1089609 1452812 1750858 2179218 2626287 3268827 3501716 4358436 5252574 6537654 7878861 9806481 10505148 13075308 15757722 19612962 23636583 31515444 39225924 47273166 94546332 230237827 460475654 690713481 920951308 1208967449 1381426962 2072140443 2417934898 2762853924 3626902347 4144280886 4835869796 6216421329 7253804694 8288561772 10880707041 12432842658 14507609388 21761414082 24865685316 32642121123 43522828164 65284242246 130568484492 317958439087 635916878174 953875317261 1271833756348 1907750634522 2861625951783 3815501269044 5723251903566 8584877855349 11446503807132 17169755710698 34339511421396