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4021129295008 = 257479172321751
BaseRepresentation
bin111010100000111101111…
…110111011010010100000
3112020102020102012002200221
4322200331332323102200
51011340233044420013
612315140432052424
7563342222024230
oct72407576732240
915212212162627
104021129295008
111310395724751
1254b3a4094114
13232263440167
14dc8a35cbcc0
156e8eae4708d
hex3a83dfbb4a0

4021129295008 has 96 divisors (see below), whose sum is σ = 9072108380160. Its totient is φ = 1718666208000.

The previous prime is 4021129295003. The next prime is 4021129295033. The reversal of 4021129295008 is 8005929211204.

It is not an unprimeable number, because it can be changed into a prime (4021129295003) by changing a digit.

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, 184860133 + ... + 184881883.

It is an arithmetic number, because the mean of its divisors is an integer number (94501128960).

Almost surely, 24021129295008 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 4021129295008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536054190080).

4021129295008 is an abundant number, since it is smaller than the sum of its proper divisors (5050979085152).

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

4021129295008 is a wasteful number, since it uses less digits than its factorization.

4021129295008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23970 (or 23962 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 4021129295008 in words is "four trillion, twenty-one billion, one hundred twenty-nine million, two hundred ninety-five thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 479 958 1723 1916 3353 3446 3832 6706 6892 7664 12061 13412 13784 15328 21751 24122 26824 27568 43502 48244 53648 55136 87004 96488 107296 152257 174008 192976 304514 348016 385952 609028 696032 825317 1218056 1650634 2436112 3301268 4872224 5777219 6602536 10418729 11554438 13205072 20837458 23108876 26410144 37476973 41674916 46217752 72931103 74953946 83349832 92435504 145862206 149907892 166699664 184871008 262338811 291724412 299815784 333399328 524677622 583448824 599631568 1049355244 1166897648 1199263136 2098710488 2333795296 4197420976 8394841952 17951470067 35902940134 71805880268 125660290469 143611760536 251320580938 287223521072 502641161876 574447042144 1005282323752 2010564647504 4021129295008