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40245740064 = 2532853716369
BaseRepresentation
bin100101011110110101…
…010100001000100000
310211212210110102111100
4211132311110020200
51124410402140224
630253313514400
72623220101065
oct453665241040
9124783412440
1040245740064
1116082742202
127972272a00
133a44c62c9a
141d3b098c6c
1510a8378ac9
hex95ed54220

40245740064 has 72 divisors (see below), whose sum is σ = 114469222140. Its totient is φ = 13412855808.

The previous prime is 40245740063. The next prime is 40245740081. The reversal of 40245740064 is 46004754204.

40245740064 is a `hidden beast` number, since 4 + 0 + 24 + 574 + 0 + 0 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39637624464 + 608115600 = 199092^2 + 24660^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (40245740063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2450472 + ... + 2466840.

Almost surely, 240245740064 is an apocalyptic number.

It is an amenable number.

40245740064 is an abundant number, since it is smaller than the sum of its proper divisors (74223482076).

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

40245740064 is a wasteful number, since it uses less digits than its factorization.

40245740064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24922 (or 24911 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 40245740064 in words is "forty billion, two hundred forty-five million, seven hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 8537 16369 17074 25611 32738 34148 49107 51222 65476 68296 76833 98214 102444 130952 136592 147321 153666 196428 204888 261904 273184 294642 307332 392856 409776 523808 589284 614664 785712 819552 1178568 1229328 1571424 2357136 2458656 4714272 139742153 279484306 419226459 558968612 838452918 1117937224 1257679377 1676905836 2235874448 2515358754 3353811672 4471748896 5030717508 6707623344 10061435016 13415246688 20122870032 40245740064