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40243641423072 = 2531940215487043
BaseRepresentation
bin10010010011001111100111…
…11100111001010011100000
312021111020212120020200200120
421021213303330321103200
520233322434201014242
6221331401301320240
711322335644006233
oct1111476374712340
9167436776220616
1040243641423072
111190626148536a
12461b5a2106080
13195bc611c07a9
149d1b3461b41a
1549bc696bd1ec
hex2499f3f394e0

40243641423072 has 96 divisors (see below), whose sum is σ = 111227210478720. Its totient is φ = 12705355491840.

The previous prime is 40243641423047. The next prime is 40243641423077. The reversal of 40243641423072 is 27032414634204.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40243641423077) 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, 4590783 + ... + 10077825.

It is an arithmetic number, because the mean of its divisors is an integer number (1158616775820).

Almost surely, 240243641423072 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 40243641423072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55613605239360).

40243641423072 is an abundant number, since it is smaller than the sum of its proper divisors (70983569055648).

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

40243641423072 is a wasteful number, since it uses less digits than its factorization.

40243641423072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5491096 (or 5491088 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 42.

The spelling of 40243641423072 in words is "forty trillion, two hundred forty-three billion, six hundred forty-one million, four hundred twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 4021 8042 12063 16084 24126 32168 48252 64336 76399 96504 128672 152798 193008 229197 305596 386016 458394 611192 916788 1222384 1833576 2444768 3667152 5487043 7334304 10974086 16461129 21948172 32922258 43896344 65844516 87792688 104253817 131689032 175585376 208507634 263378064 312761451 417015268 526756128 625522902 834030536 1251045804 1668061072 2502091608 3336122144 5004183216 10008366432 22063399903 44126799806 66190199709 88253599612 132380399418 176507199224 264760798836 353014398448 419204598157 529521597672 706028796896 838409196314 1059043195344 1257613794471 1676818392628 2118086390688 2515227588942 3353636785256 5030455177884 6707273570512 10060910355768 13414547141024 20121820711536 40243641423072