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134426342600 = 235211347176089
BaseRepresentation
bin111110100110001101…
…1110011010011001000
3110211222101212202011122
41331030123303103020
54200301120430400
6141430555014412
712466132026164
oct1751433632310
9424871782148
10134426342600
1152012190910
122207713a408
13c8a3c2bb74
1467132bdca4
15376b752685
hex1f4c6f34c8

134426342600 has 96 divisors (see below), whose sum is σ = 341938605600. Its totient is φ = 48741158400.

The previous prime is 134426342573. The next prime is 134426342627. The reversal of 134426342600 is 6243624431.

It is an interprime number because it is at equal distance from previous prime (134426342573) and next prime (134426342627).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 675356 + ... + 851444.

It is an arithmetic number, because the mean of its divisors is an integer number (3561860475).

Almost surely, 2134426342600 is an apocalyptic number.

134426342600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134426342600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170969302800).

134426342600 is an abundant number, since it is smaller than the sum of its proper divisors (207512263000).

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

134426342600 is a wasteful number, since it uses less digits than its factorization.

134426342600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176463 (or 176454 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The spelling of 134426342600 in words is "one hundred thirty-four billion, four hundred twenty-six million, three hundred forty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 347 440 550 694 1100 1388 1735 2200 2776 3470 3817 6940 7634 8675 13880 15268 17350 19085 30536 34700 38170 69400 76340 95425 152680 176089 190850 352178 381700 704356 763400 880445 1408712 1760890 1936979 3521780 3873958 4402225 7043560 7747916 8804450 9684895 15495832 17608900 19369790 35217800 38739580 48424475 61102883 77479160 96848950 122205766 193697900 244411532 305514415 387395800 488823064 611028830 672131713 1222057660 1344263426 1527572075 2444115320 2688526852 3055144150 3360658565 5377053704 6110288300 6721317130 12220576600 13442634260 16803292825 26885268520 33606585650 67213171300 134426342600