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34213245040 = 245131132771051
BaseRepresentation
bin11111110111010001…
…001011000001110000
310021022101020221000201
4133313101023001300
51030032042320130
623414540324544
72320556533042
oct376721130160
9107271227021
1034213245040
1113567537427
126769b43754
1332c322a6c0
141927c2ba92
15d53972bca
hex7f744b070

34213245040 has 160 divisors (see below), whose sum is σ = 86817318336. Its totient is φ = 12463718400.

The previous prime is 34213244969. The next prime is 34213245043. The reversal of 34213245040 is 4054231243.

It is a happy number.

It is a super-2 number, since 2×342132450402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34213245043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32552515 + ... + 32553565.

Almost surely, 234213245040 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 34213245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43408659168).

34213245040 is an abundant number, since it is smaller than the sum of its proper divisors (52604073296).

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

34213245040 is a wasteful number, since it uses less digits than its factorization.

34213245040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 34213245040 its reverse (4054231243), we get a palindrome (38267476283).

The spelling of 34213245040 in words is "thirty-four billion, two hundred thirteen million, two hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 113 130 208 226 260 277 452 520 554 565 904 1040 1051 1108 1130 1385 1469 1808 2102 2216 2260 2770 2938 3601 4204 4432 4520 5255 5540 5876 7202 7345 8408 9040 10510 11080 11752 13663 14404 14690 16816 18005 21020 22160 23504 27326 28808 29380 31301 36010 42040 54652 57616 58760 62602 68315 72020 84080 109304 117520 118763 125204 136630 144040 156505 218608 237526 250408 273260 288080 291127 313010 406913 475052 500816 546520 582254 593815 626020 813826 950104 1093040 1164508 1187630 1252040 1455635 1543919 1627652 1900208 2034565 2329016 2375260 2504080 2911270 3087838 3255304 3784651 4069130 4658032 4750520 5822540 6175676 6510608 7569302 7719595 8138260 9501040 11645080 12351352 15138604 15439190 16276520 18923255 23290160 24702704 30277208 30878380 32553040 32897351 37846510 60554416 61756760 65794702 75693020 123513520 131589404 151386040 164486755 263178808 302772080 328973510 427665563 526357616 657947020 855331126 1315894040 1710662252 2138327815 2631788080 3421324504 4276655630 6842649008 8553311260 17106622520 34213245040