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4134054432 = 253101593719
BaseRepresentation
bin1111011001101000…
…1010101000100000
3101200002221201120010
43312122022220200
531431304220212
61522115044520
7204305611554
oct36632125040
911602851503
104134054432
111831625312
129745a0740
1350b629771
142b308b864
15192e0503c
hexf668aa20

4134054432 has 96 divisors (see below), whose sum is σ = 10993086720. Its totient is φ = 1360179200.

The previous prime is 4134054427. The next prime is 4134054467. The reversal of 4134054432 is 2344504314.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 4134054432.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5749369 + ... + 5750087.

It is an arithmetic number, because the mean of its divisors is an integer number (114511320).

Almost surely, 24134054432 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 4134054432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496543360).

4134054432 is an abundant number, since it is smaller than the sum of its proper divisors (6859032288).

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

4134054432 is a wasteful number, since it uses less digits than its factorization.

4134054432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 4134054432 is about 64296.6129123455. The cubic root of 4134054432 is about 1604.9397378408.

Adding to 4134054432 its reverse (2344504314), we get a palindrome (6478558746).

The spelling of 4134054432 in words is "four billion, one hundred thirty-four million, fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 593 606 719 808 1186 1212 1438 1616 1779 2157 2372 2424 2876 3232 3558 4314 4744 4848 5752 7116 8628 9488 9696 11504 14232 17256 18976 23008 28464 34512 56928 59893 69024 72619 119786 145238 179679 217857 239572 290476 359358 426367 435714 479144 580952 718716 852734 871428 958288 1161904 1279101 1437432 1705468 1742856 1916576 2323808 2558202 2874864 3410936 3485712 5116404 5749728 6821872 6971424 10232808 13643744 20465616 40931232 43063067 86126134 129189201 172252268 258378402 344504536 516756804 689009072 1033513608 1378018144 2067027216 4134054432