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4134001250000 = 24573307201
BaseRepresentation
bin111100001010000101101…
…011010000111011010000
3112122012120122200111200102
4330022011223100323100
51020212413310000000
612443044533511532
7604446255561266
oct74120553207320
915565518614612
104134001250000
111354246a29086
125692447a25a8
1323cab093b8cb
1410412dda6436
157280523e3d5
hex3c285ad0ed0

4134001250000 has 80 divisors (see below), whose sum is σ = 10012011673872. Its totient is φ = 1653600000000.

The previous prime is 4134001249969. The next prime is 4134001250003. The reversal of 4134001250000 is 521004314.

It can be written as a sum of positive squares in 8 ways, for example, as 1832384566336 + 2301616683664 = 1353656^2 + 1517108^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134001250003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403601 + ... + 2903600.

Almost surely, 24134001250000 is an apocalyptic number.

4134001250000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4134001250000 is an abundant number, since it is smaller than the sum of its proper divisors (5878010423872).

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

4134001250000 is an frugal number, since it uses more digits than its factorization.

4134001250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307244 (or 3307208 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 4134001250000 its reverse (521004314), we get a palindrome (4134522254314).

The spelling of 4134001250000 in words is "four trillion, one hundred thirty-four billion, one million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3125 5000 6250 10000 12500 15625 25000 31250 50000 62500 78125 125000 156250 250000 312500 625000 1250000 3307201 6614402 13228804 16536005 26457608 33072010 52915216 66144020 82680025 132288040 165360050 264576080 330720100 413400125 661440200 826800250 1322880400 1653600500 2067000625 3307201000 4134001250 6614402000 8268002500 10335003125 16536005000 20670006250 33072010000 41340012500 51675015625 82680025000 103350031250 165360050000 206700062500 258375078125 413400125000 516750156250 826800250000 1033500312500 2067000625000 4134001250000