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3429109423012 = 22713232371172751
BaseRepresentation
bin110001111001100110110…
…110010101101110100100
3110010211010112100112212011
4301321212312111232210
5422140304003014022
611143151111404004
7502513346112430
oct61714666255644
913124115315764
103429109423012
111102305966469
12474701983604
131bb495b889b0
14bbd8111b9c0
155e2eb99b977
hex31e66d95ba4

3429109423012 has 96 divisors (see below), whose sum is σ = 7710189871104. Its totient is φ = 1297034640000.

The previous prime is 3429109422967. The next prime is 3429109423063. The reversal of 3429109423012 is 2103249019243.

It is a happy 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, 19763637 + ... + 19936387.

It is an arithmetic number, because the mean of its divisors is an integer number (80314477824).

Almost surely, 23429109423012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3429109423012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855094935552).

3429109423012 is an abundant number, since it is smaller than the sum of its proper divisors (4281080448092).

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

3429109423012 is a wasteful number, since it uses less digits than its factorization.

3429109423012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175169 (or 175167 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 3429109423012 in words is "three trillion, four hundred twenty-nine billion, one hundred nine million, four hundred twenty-three thousand, twelve".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 598 644 1196 2093 2371 4186 4742 8372 9484 16597 30823 33194 54533 61646 66388 109066 123292 172751 215761 218132 345502 381731 431522 691004 708929 763462 863044 1209257 1417858 1526924 2245763 2418514 2835716 3973273 4491526 4837028 4962503 7946546 8983052 9925006 15720341 15893092 19850012 27812911 31440682 51652549 55625822 62881364 103305098 111251644 206610196 361567843 409592621 723135686 819185242 1446271372 1638370484 2867148347 5324704073 5734296694 9420630283 10649408146 11468593388 18841260566 21298816292 37272928511 37682521132 65944411981 74545857022 122468193679 131888823962 149091714044 244936387358 263777647924 489872774716 857277355753 1714554711506 3429109423012