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34130421320 = 23529893111063
BaseRepresentation
bin11111110010010101…
…001110011001001000
310021002121102001020112
4133302111032121020
51024344341440240
623402421213452
72315532536342
oct376225163110
9107077361215
1034130421320
1113524807776
126746261288
1332ac01bc98
14191ac2c292
15d4b562665
hex7f254e648

34130421320 has 128 divisors (see below), whose sum is σ = 80668224000. Its totient is φ = 12979169280.

The previous prime is 34130421313. The next prime is 34130421329. The reversal of 34130421320 is 2312403143.

It is not an unprimeable number, because it can be changed into a prime (34130421329) 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, 32107109 + ... + 32108171.

It is an arithmetic number, because the mean of its divisors is an integer number (630220500).

Almost surely, 234130421320 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 34130421320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40334112000).

34130421320 is an abundant number, since it is smaller than the sum of its proper divisors (46537802680).

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

34130421320 is a wasteful number, since it uses less digits than its factorization.

34130421320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 34130421320 its reverse (2312403143), we get a palindrome (36442824463).

The spelling of 34130421320 in words is "thirty-four billion, one hundred thirty million, four hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 89 116 145 178 232 290 311 356 445 580 622 712 890 1063 1160 1244 1555 1780 2126 2488 2581 3110 3560 4252 5162 5315 6220 8504 9019 10324 10630 12440 12905 18038 20648 21260 25810 27679 30827 36076 42520 45095 51620 55358 61654 72152 90190 94607 103240 110716 123308 138395 154135 180380 189214 221432 246616 276790 308270 330593 360760 378428 473035 553580 616540 661186 756856 802691 946070 1107160 1233080 1322372 1605382 1652965 1892140 2644744 2743603 3210764 3305930 3784280 4013455 5487206 6421528 6611860 8026910 9587197 10974412 13223720 13718015 16053820 19174394 21948824 27436030 29422777 32107640 38348788 47935985 54872060 58845554 76697576 95871970 109744120 117691108 147113885 191743940 235382216 294227770 383487880 588455540 853260533 1176911080 1706521066 3413042132 4266302665 6826084264 8532605330 17065210660 34130421320