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4134465480 = 2335436711959
BaseRepresentation
bin1111011001101110…
…1110111111001000
3101200010201121102010
43312123232333020
531431410343410
61522131535520
7204312243135
oct36633567710
911603647363
104134465480
111831886122
1297475a5a0
1350b7418a2
142b315758c
15192e86c20
hexf66eefc8

4134465480 has 128 divisors (see below), whose sum is σ = 12882355200. Its totient is φ = 1060722432.

The previous prime is 4134465479. The next prime is 4134465509. The reversal of 4134465480 is 845644314.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339741 + ... + 351699.

It is an arithmetic number, because the mean of its divisors is an integer number (100643400).

Almost surely, 24134465480 is an apocalyptic number.

4134465480 is a gapful number since it is divisible by the number (40) 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 4134465480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6441177600).

4134465480 is an abundant number, since it is smaller than the sum of its proper divisors (8747889720).

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

4134465480 is a wasteful number, since it uses less digits than its factorization.

4134465480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12083 (or 12079 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 4134465480 is about 64299.8093309770. The cubic root of 4134465480 is about 1604.9929289971.

The spelling of 4134465480 in words is "four billion, one hundred thirty-four million, four hundred sixty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 67 86 120 129 134 172 201 215 258 268 335 344 402 430 516 536 645 670 804 860 1005 1032 1290 1340 1608 1720 2010 2580 2680 2881 4020 5160 5762 8040 8643 11524 11959 14405 17286 23048 23918 28810 34572 35877 43215 47836 57620 59795 69144 71754 86430 95672 115240 119590 143508 172860 179385 239180 287016 345720 358770 478360 514237 717540 801253 1028474 1435080 1542711 1602506 2056948 2403759 2571185 3085422 3205012 4006265 4113896 4807518 5142370 6170844 6410024 7713555 8012530 9615036 10284740 12018795 12341688 15427110 16025060 19230072 20569480 24037590 30854220 32050120 34453879 48075180 61708440 68907758 96150360 103361637 137815516 172269395 206723274 275631032 344538790 413446548 516808185 689077580 826893096 1033616370 1378155160 2067232740 4134465480