Search a number
-
+
40148043000 = 23353134992063
BaseRepresentation
bin100101011001000000…
…101000010011111000
310211121222121220022120
4211121000220103320
51124210344334000
630235503521240
72620622510022
oct453100502370
9124558556276
1040148043000
1116032583a2a
1279455b9220
133a2a947780
141d2c107012
15109e9cb6a0
hex9590284f8

40148043000 has 256 divisors, whose sum is σ = 135233280000. Its totient is φ = 9858009600.

The previous prime is 40148042993. The next prime is 40148043011. The reversal of 40148043000 is 34084104.

It is a super-2 number, since 2×401480430002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19459969 + ... + 19462031.

It is an arithmetic number, because the mean of its divisors is an integer number (528255000).

Almost surely, 240148043000 is an apocalyptic number.

40148043000 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 40148043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67616640000).

40148043000 is an abundant number, since it is smaller than the sum of its proper divisors (95085237000).

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

40148043000 is a wasteful number, since it uses less digits than its factorization.

40148043000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 40148043000 in words is "forty billion, one hundred forty-eight million, forty-three thousand".