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40000000000 = 212510
BaseRepresentation
bin100101010000001011…
…111001000000000000
310211020200001112111111
4211100023321000000
51123410000000000
630213054453104
72614144250542
oct452013710000
9124220045444
1040000000000
1115a66a59044
127903b04194
133a0608256c
141d165ab692
1510919d6cba
hex9502f9000

40000000000 has 143 divisors (see below), whose sum is σ = 99987790921. Its totient is φ = 16000000000.

The previous prime is 39999999979. The next prime is 40000000003. The reversal of 40000000000 is 4.

The square root of 40000000000 is 200000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 5 ways, for example, as 230068224 + 39769931776 = 15168^2 + 199424^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Duffinian number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (40000000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 10 ways as a sum of consecutive naturals, for example, 7999999998 + ... + 8000000002.

Almost surely, 240000000000 is an apocalyptic number.

40000000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40000000000 is the 200000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40000000000

40000000000 is an abundant number, since it is smaller than the sum of its proper divisors (59987790921).

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

40000000000 is an frugal number, since it uses more digits than its factorization.

40000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 4.

The spelling of 40000000000 in words is "forty billion", and thus it is an aban number, an eban number, and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2500 2560 3125 3200 4000 4096 5000 5120 6250 6400 8000 10000 10240 12500 12800 15625 16000 20000 20480 25000 25600 31250 32000 40000 50000 51200 62500 64000 78125 80000 100000 102400 125000 128000 156250 160000 200000 250000 256000 312500 320000 390625 400000 500000 512000 625000 640000 781250 800000 1000000 1250000 1280000 1562500 1600000 1953125 2000000 2500000 2560000 3125000 3200000 3906250 4000000 5000000 6250000 6400000 7812500 8000000 9765625 10000000 12500000 12800000 15625000 16000000 19531250 20000000 25000000 31250000 32000000 39062500 40000000 50000000 62500000 64000000 78125000 80000000 100000000 125000000 156250000 160000000 200000000 250000000 312500000 320000000 400000000 500000000 625000000 800000000 1000000000 1250000000 1600000000 2000000000 2500000000 4000000000 5000000000 8000000000 10000000000 20000000000 40000000000