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400040399988 = 223243288789513
BaseRepresentation
bin1011101001001000100…
…01000001010001110100
31102020120111120220100200
411310210101001101310
523023240320244423
6503435342040500
740621242203145
oct5644421012164
91366514526320
10400040399988
11144724416519
1265644879130
132b953b14c68
141550d6bbacc
15a615228d43
hex5d24441474

400040399988 has 72 divisors (see below), whose sum is σ = 1035099793728. Its totient is φ = 130199142528.

The previous prime is 400040399981. The next prime is 400040400047. The reversal of 400040399988 is 889993040004.

400040399988 is a `hidden beast` number, since 400 + 0 + 40 + 39 + 99 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400040399981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4424320 + ... + 4513832.

It is an arithmetic number, because the mean of its divisors is an integer number (14376386024).

Almost surely, 2400040399988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400040399988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517549896864).

400040399988 is an abundant number, since it is smaller than the sum of its proper divisors (635059393740).

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

400040399988 is a wasteful number, since it uses less digits than its factorization.

400040399988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92453 (or 92448 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 400040399988 in words is "four hundred billion, forty million, three hundred ninety-nine thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 2887 5774 8661 11548 17322 25983 34644 51966 89513 103932 124141 179026 248282 268539 358052 372423 496564 537078 744846 805617 1074156 1117269 1489692 1611234 2234538 3222468 3849059 4469076 7698118 11547177 15396236 23094354 34641531 46188708 69283062 138566124 258424031 516848062 775272093 1033696124 1550544186 2325816279 3101088372 4651632558 9303265116 11112233333 22224466666 33336699999 44448933332 66673399998 100010099997 133346799996 200020199994 400040399988