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1101042323440 = 245163199942239
BaseRepresentation
bin10000000001011011001…
…111001000111111110000
310220020222112101021200121
4100001123033020333300
5121014413313322230
62201451210100024
7142355566221253
oct20013317107760
93806875337617
101101042323440
11394a49762024
12159480a1a614
137ca9ba136c7
143b40dab109a
151d99224277a
hex1005b3c8ff0

1101042323440 has 80 divisors (see below), whose sum is σ = 2576977920000. Its totient is φ = 437485660416.

The previous prime is 1101042323431. The next prime is 1101042323467. The reversal of 1101042323440 is 443232401011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 26045841 + ... + 26088079.

It is an arithmetic number, because the mean of its divisors is an integer number (32212224000).

Almost surely, 21101042323440 is an apocalyptic number.

1101042323440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101042323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288488960000).

1101042323440 is an abundant number, since it is smaller than the sum of its proper divisors (1475935596560).

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

1101042323440 is a wasteful number, since it uses less digits than its factorization.

1101042323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44414 (or 44408 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1101042323440 its reverse (443232401011), we get a palindrome (1544274724451).

The spelling of 1101042323440 in words is "one trillion, one hundred one billion, forty-two million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 652 815 1304 1630 1999 2608 3260 3998 6520 7996 9995 13040 15992 19990 31984 39980 42239 79960 84478 159920 168956 211195 325837 337912 422390 651674 675824 844780 1303348 1629185 1689560 2606696 3258370 3379120 5213392 6516740 6884957 13033480 13769914 26066960 27539828 34424785 55079656 68849570 84435761 110159312 137699140 168871522 275398280 337743044 422178805 550796560 675486088 844357610 1350972176 1688715220 3377430440 6754860880 13763029043 27526058086 55052116172 68815145215 110104232344 137630290430 220208464688 275260580860 550521161720 1101042323440