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4054211124432 = 243717369746269
BaseRepresentation
bin111010111111110001110…
…100000101110011010000
3112100120121221111011021120
4322333301310011303100
51012411011021440212
612342251234322240
7565623062651430
oct72776164056320
915316557434246
104054211124432
111323421539847
12555897129380
1323540613a761
141003210602c0
15706d53ca88c
hex3aff1d05cd0

4054211124432 has 80 divisors (see below), whose sum is σ = 12038764172160. Its totient is φ = 1151650377216.

The previous prime is 4054211124419. The next prime is 4054211124449. The reversal of 4054211124432 is 2344211124504.

It is a junction number, because it is equal to n+sod(n) for n = 4054211124393 and 4054211124402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34815007 + ... + 34931262.

It is an arithmetic number, because the mean of its divisors is an integer number (150484552152).

Almost surely, 24054211124432 is an apocalyptic number.

4054211124432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4054211124432 is an abundant number, since it is smaller than the sum of its proper divisors (7984553047728).

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

4054211124432 is a wasteful number, since it uses less digits than its factorization.

4054211124432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69746460 (or 69746454 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 4054211124432 its reverse (2344211124504), we get a palindrome (6398422248936).

The spelling of 4054211124432 in words is "four trillion, fifty-four billion, two hundred eleven million, one hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 173 336 346 519 692 1038 1211 1384 2076 2422 2768 3633 4152 4844 7266 8304 9688 14532 19376 29064 58128 69746269 139492538 209238807 278985076 418477614 488223883 557970152 836955228 976447766 1115940304 1464671649 1673910456 1952895532 2929343298 3347820912 3905791064 5858686596 7811582128 11717373192 12066104537 23434746384 24132209074 36198313611 48264418148 72396627222 84462731759 96528836296 144793254444 168925463518 193057672592 253388195277 289586508888 337850927036 506776390554 579173017776 675701854072 1013552781108 1351403708144 2027105562216 4054211124432