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34041321440 = 255761749261
BaseRepresentation
bin11111101101000001…
…010101011111100000
310020212101202022011222
4133231001111133200
51024204034241230
623345515354212
72313401313050
oct375501253740
9106771668158
1034041321440
1113489490705
126720452968
133296723969
14190d077560
15d438126e5
hex7ed0557e0

34041321440 has 96 divisors (see below), whose sum is σ = 92062401984. Its totient is φ = 11652157440.

The previous prime is 34041321439. The next prime is 34041321451. The reversal of 34041321440 is 4412314043.

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 15 ways as a sum of consecutive naturals, for example, 666410 + ... + 715670.

It is an arithmetic number, because the mean of its divisors is an integer number (958983354).

Almost surely, 234041321440 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 34041321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46031200992).

34041321440 is an abundant number, since it is smaller than the sum of its proper divisors (58021080544).

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

34041321440 is a wasteful number, since it uses less digits than its factorization.

34041321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49900 (or 49892 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 34041321440 its reverse (4412314043), we get a palindrome (38453635483).

The spelling of 34041321440 in words is "thirty-four billion, forty-one million, three hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 617 1120 1234 2468 3085 4319 4936 6170 8638 9872 12340 17276 19744 21595 24680 34552 43190 49261 49360 69104 86380 98522 98720 138208 172760 197044 246305 344827 345520 394088 492610 689654 691040 788176 985220 1379308 1576352 1724135 1970440 2758616 3448270 3940880 5517232 6896540 7881760 11034464 13793080 27586160 30394037 55172320 60788074 121576148 151970185 212758259 243152296 303940370 425516518 486304592 607880740 851033036 972609184 1063791295 1215761480 1702066072 2127582590 2431522960 3404132144 4255165180 4863045920 6808264288 8510330360 17020660720 34041321440