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40009000504 = 231113914392273
BaseRepresentation
bin100101010000101110…
…001110011000111000
310211021021222210212111
4211100232032120320
51123414301004004
630214015422104
72614313615224
oct452056163070
9124237883774
1040009000504
1115a71046280
127906b24934
133a07bb41c5
141d17871784
1510926b3a04
hex950b8e638

40009000504 has 64 divisors (see below), whose sum is σ = 82518912000. Its totient is φ = 18034590720.

The previous prime is 40009000501. The next prime is 40009000519. The reversal of 40009000504 is 40500090004.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40009000501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17600712 + ... + 17602984.

It is an arithmetic number, because the mean of its divisors is an integer number (1289358000).

Almost surely, 240009000504 is an apocalyptic number.

40009000504 is a gapful number since it is divisible by the number (44) 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 40009000504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41259456000).

40009000504 is an abundant number, since it is smaller than the sum of its proper divisors (42509911496).

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

40009000504 is a wasteful number, since it uses less digits than its factorization.

40009000504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3868 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 40009000504 its reverse (40500090004), we get a palindrome (80509090508).

The spelling of 40009000504 in words is "forty billion, nine million, five hundred four", and thus it is an aban number.

Divisors: 1 2 4 8 11 22 44 88 139 278 556 1112 1439 1529 2273 2878 3058 4546 5756 6116 9092 11512 12232 15829 18184 25003 31658 50006 63316 100012 126632 200021 200024 315947 400042 631894 800084 1263788 1600168 2200231 2527576 3270847 3475417 4400462 6541694 6950834 8800924 13083388 13901668 17601848 26166776 27803336 35979317 71958634 143917268 287834536 454647733 909295466 1818590932 3637181864 5001125063 10002250126 20004500252 40009000504