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40244665140 = 223251269717609
BaseRepresentation
bin100101011110110001…
…001101101100110100
310211212201102210222100
4211132301031230310
51124410113241030
630253234502100
72623205003151
oct453661155464
9124781383870
1040244665140
1116082078639
127971a34930
133a44977934
141d3ac99228
1510a8215360
hex95ec4db34

40244665140 has 72 divisors (see below), whose sum is σ = 122092031880. Its totient is φ = 10730456064.

The previous prime is 40244665039. The next prime is 40244665147. The reversal of 40244665140 is 4156644204.

40244665140 is a `hidden beast` number, since 40 + 2 + 44 + 66 + 514 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3272297616 + 36972367524 = 57204^2 + 192282^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40244665095 and 40244665104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40244665147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2276656 + ... + 2294264.

It is an arithmetic number, because the mean of its divisors is an integer number (1695722665).

Almost surely, 240244665140 is an apocalyptic number.

It is an amenable number.

40244665140 is an abundant number, since it is smaller than the sum of its proper divisors (81847366740).

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

40244665140 is a wasteful number, since it uses less digits than its factorization.

40244665140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30321 (or 30316 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 40244665140 in words is "forty billion, two hundred forty-four million, six hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12697 17609 25394 35218 38091 50788 52827 63485 70436 76182 88045 105654 114273 126970 152364 158481 176090 190455 211308 228546 253940 264135 316962 352180 380910 457092 528270 571365 633924 761820 792405 1056540 1142730 1584810 2285460 3169620 223581473 447162946 670744419 894325892 1117907365 1341488838 2012233257 2235814730 2682977676 3353722095 4024466514 4471629460 6707444190 8048933028 10061166285 13414888380 20122332570 40244665140