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40124113000 = 235376952177
BaseRepresentation
bin100101010111100101…
…010110000001101000
310211120022121010112021
4211113211112001220
51124133233104000
630233250554224
72620212222166
oct452745260150
9124508533467
1040124113000
1116020019a74
127939598974
133a259b95ca
141d28c78236
15109c85111a
hex957956068

40124113000 has 64 divisors (see below), whose sum is σ = 94014320400. Its totient is φ = 16028467200.

The previous prime is 40124112983. The next prime is 40124113027. The reversal of 40124113000 is 31142104.

It can be written as a sum of positive squares in 8 ways, for example, as 2498200324 + 37625912676 = 49982^2 + 193974^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 742912 + ... + 795088.

Almost surely, 240124113000 is an apocalyptic number.

40124113000 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 40124113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47007160200).

40124113000 is an abundant number, since it is smaller than the sum of its proper divisors (53890207400).

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

40124113000 is a wasteful number, since it uses less digits than its factorization.

40124113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52967 (or 52953 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 40124113000 its reverse (31142104), we get a palindrome (40155255104).

The spelling of 40124113000 in words is "forty billion, one hundred twenty-four million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 769 1000 1538 3076 3845 6152 7690 15380 19225 30760 38450 52177 76900 96125 104354 153800 192250 208708 260885 384500 417416 521770 769000 1043540 1304425 2087080 2608850 5217700 6522125 10435400 13044250 26088500 40124113 52177000 80248226 160496452 200620565 320992904 401241130 802482260 1003102825 1604964520 2006205650 4012411300 5015514125 8024822600 10031028250 20062056500 40124113000