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34121671240000 = 26541151741131
BaseRepresentation
bin1111100001000100100100…
…00101111110100101000000
311110210222222221021212012111
413300202102011332211000
513433022140314140000
6200323140202105104
710121131552024501
oct760422205764500
9143728887255174
1034121671240000
11a965a12957123
1239b10127ab194
13160687673bb46
1485d6d798cba8
153e28b280bcba
hex1f089217e940

34121671240000 has 140 divisors (see below), whose sum is σ = 84684279955968. Its totient is φ = 13636792000000.

The previous prime is 34121671239919. The next prime is 34121671240049. The reversal of 34121671240000 is 4217612143.

It is a congruent 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 19 ways as a sum of consecutive naturals, for example, 45669435 + ... + 46410565.

Almost surely, 234121671240000 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 34121671240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42342139977984).

34121671240000 is an abundant number, since it is smaller than the sum of its proper divisors (50562608715968).

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

34121671240000 is an equidigital number, since it uses as much as digits as its factorization.

34121671240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742314 (or 742289 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

Adding to 34121671240000 its reverse (4217612143), we get a palindrome (34125888852143).

The spelling of 34121671240000 in words is "thirty-four trillion, one hundred twenty-one billion, six hundred seventy-one million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1151 1250 1600 2000 2302 2500 4000 4604 5000 5755 8000 9208 10000 11510 18416 20000 23020 28775 36832 40000 46040 57550 73664 92080 115100 143875 184160 230200 287750 368320 460400 575500 719375 741131 920800 1151000 1438750 1482262 1841600 2302000 2877500 2964524 3705655 4604000 5755000 5929048 7411310 9208000 11510000 11858096 14822620 18528275 23020000 23716192 29645240 37056550 46040000 47432384 59290480 74113100 92641375 118580960 148226200 185282750 237161920 296452400 370565500 463206875 592904800 741131000 853041781 926413750 1185809600 1482262000 1706083562 1852827500 2964524000 3412167124 3705655000 4265208905 5929048000 6824334248 7411310000 8530417810 13648668496 14822620000 17060835620 21326044525 27297336992 29645240000 34121671240 42652089050 54594673984 68243342480 85304178100 106630222625 136486684960 170608356200 213260445250 272973369920 341216712400 426520890500 533151113125 682433424800 853041781000 1066302226250 1364866849600 1706083562000 2132604452500 3412167124000 4265208905000 6824334248000 8530417810000 17060835620000 34121671240000