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400025000000 = 265816001
BaseRepresentation
bin1011101001000110101…
…10010001100001000000
31102020112102121111112202
411310203112101201000
523023222400000000
6503434032012332
740620664253213
oct5644326214100
91366472544482
10400025000000
1114471675825a
126563b6910a8
132b950882542
141550b62d77a
15a613bd5dd5
hex5d23591840

400025000000 has 126 divisors (see below), whose sum is σ = 992311015374. Its totient is φ = 160000000000.

The previous prime is 400024999987. The next prime is 400025000003. The reversal of 400025000000 is 520004.

It can be written as a sum of positive squares in 9 ways, for example, as 207556781056 + 192468218944 = 455584^2 + 438712^2 .

It is a sliding number, since 400025000000 = 25000000 + 400000000000 and 1/25000000 + 1/400000000000 = 0.0000000400025000000.

It is not an unprimeable number, because it can be changed into a prime (400025000003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24992000 + ... + 25008000.

It is an arithmetic number, because the mean of its divisors is an integer number (7875484249).

Almost surely, 2400025000000 is an apocalyptic number.

400025000000 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 400025000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496155507687).

400025000000 is an abundant number, since it is smaller than the sum of its proper divisors (592286015374).

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

400025000000 is an frugal number, since it uses more digits than its factorization.

400025000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16053 (or 16008 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

Adding to 400025000000 its reverse (520004), we get a palindrome (400025520004).

It can be divided in two parts, 4000 and 25000000, that multiplied together give a 11-th power (100000000000 = 1011).

The spelling of 400025000000 in words is "four hundred billion, twenty-five million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 16001 20000 25000 31250 32002 40000 50000 62500 64004 78125 80005 100000 125000 128008 156250 160010 200000 250000 256016 312500 320020 390625 400025 500000 512032 625000 640040 781250 800050 1000000 1024064 1250000 1280080 1562500 1600100 2000125 2500000 2560160 3125000 3200200 4000250 5000000 5120320 6250000 6400400 8000500 10000625 12500000 12800800 16001000 20001250 25000000 25601600 32002000 40002500 50003125 64004000 80005000 100006250 128008000 160010000 200012500 250015625 320020000 400025000 500031250 640040000 800050000 1000062500 1250078125 1600100000 2000125000 2500156250 3200200000 4000250000 5000312500 6250390625 8000500000 10000625000 12500781250 16001000000 20001250000 25001562500 40002500000 50003125000 80005000000 100006250000 200012500000 400025000000