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1042211315424 = 253911109310903
BaseRepresentation
bin11110010101010001010…
…00101001111011100000
310200122010111110102110210
433022220220221323200
5114033422044043144
62114441341254120
7135203653004406
oct17125050517340
93618114412423
101042211315424
11371aaa131a44
12149ba2564340
1377384511c66
143862c599476
151c19c452ab9
hexf2a8a29ee0

1042211315424 has 96 divisors (see below), whose sum is σ = 2741564980224. Its totient is φ = 346673134080.

The previous prime is 1042211315417. The next prime is 1042211315429. The reversal of 1042211315424 is 4245131122401.

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

It is a junction number, because it is equal to n+sod(n) for n = 1042211315391 and 1042211315400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042211315429) 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 15 ways as a sum of consecutive naturals, for example, 95583957 + ... + 95594859.

It is an arithmetic number, because the mean of its divisors is an integer number (28557968544).

Almost surely, 21042211315424 is an apocalyptic number.

It is an amenable number.

1042211315424 is an abundant number, since it is smaller than the sum of its proper divisors (1699353664800).

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

1042211315424 is a wasteful number, since it uses less digits than its factorization.

1042211315424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12920 (or 12912 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 1042211315424 its reverse (4245131122401), we get a palindrome (5287342437825).

The spelling of 1042211315424 in words is "one trillion, forty-two billion, two hundred eleven million, three hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 911 1093 1822 2186 2733 3279 3644 4372 5466 6558 7288 8744 10903 10932 13116 14576 17488 21806 21864 26232 29152 32709 34976 43612 43728 52464 65418 87224 87456 104928 130836 174448 261672 348896 523344 995723 1046688 1991446 2987169 3982892 5974338 7965784 9932633 11916979 11948676 15931568 19865266 23833958 23897352 29797899 31863136 35750937 39730532 47667916 47794704 59595798 71501874 79461064 95335832 95589408 119191596 143003748 158922128 190671664 238383192 286007496 317844256 381343328 476766384 572014992 953532768 1144029984 10856367869 21712735738 32569103607 43425471476 65138207214 86850942952 130276414428 173701885904 260552828856 347403771808 521105657712 1042211315424