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40155121000 = 235343392737
BaseRepresentation
bin100101011001011011…
…101000010101101000
310211122110221111111201
4211121123220111220
51124214202333000
630240315333544
72621036616421
oct453133502550
9124573844451
1040155121000
1116036578815
127947a512b4
133a2c255337
141d2d02a648
1510a042896a
hex9596e8568

40155121000 has 64 divisors (see below), whose sum is σ = 94181003280. Its totient is φ = 16024780800.

The previous prime is 40155120983. The next prime is 40155121033. The reversal of 40155121000 is 12155104.

It can be written as a sum of positive squares in 8 ways, for example, as 35832196 + 40119288804 = 5986^2 + 200298^2 .

It is a super-2 number, since 2×401551210002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386632 + ... + 479368.

Almost surely, 240155121000 is an apocalyptic number.

40155121000 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 40155121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47090501640).

40155121000 is an abundant number, since it is smaller than the sum of its proper divisors (54025882280).

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

40155121000 is a wasteful number, since it uses less digits than its factorization.

40155121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93191 (or 93177 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

Adding to 40155121000 its reverse (12155104), we get a palindrome (40167276104).

The spelling of 40155121000 in words is "forty billion, one hundred fifty-five million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 433 500 866 1000 1732 2165 3464 4330 8660 10825 17320 21650 43300 54125 86600 92737 108250 185474 216500 370948 433000 463685 741896 927370 1854740 2318425 3709480 4636850 9273700 11592125 18547400 23184250 40155121 46368500 80310242 92737000 160620484 200775605 321240968 401551210 803102420 1003878025 1606204840 2007756050 4015512100 5019390125 8031024200 10038780250 20077560500 40155121000