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1041113040 = 243511235851
BaseRepresentation
bin111110000011100…
…001111111010000
32200120001000121020
4332003201333100
54113011104130
6251150355440
734541212662
oct7603417720
92616030536
101041113040
11494754700
122507bbb80
13137903526
149c3b0532
1561602e10
hex3e0e1fd0

1041113040 has 120 divisors (see below), whose sum is σ = 3547627104. Its totient is φ = 252384000.

The previous prime is 1041112991. The next prime is 1041113053. The reversal of 1041113040 is 403111401.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11115 + ... + 46965.

Almost surely, 21041113040 is an apocalyptic number.

1041113040 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 1041113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773813552).

1041113040 is an abundant number, since it is smaller than the sum of its proper divisors (2506514064).

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

1041113040 is a wasteful number, since it uses less digits than its factorization.

1041113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35889 (or 35872 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1041113040 is about 32266.2833310563. The cubic root of 1041113040 is about 1013.5207130788.

Adding to 1041113040 its reverse (403111401), we get a palindrome (1444224441).

The spelling of 1041113040 in words is "one billion, forty-one million, one hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 121 132 165 176 220 240 242 264 330 363 440 484 528 605 660 726 880 968 1210 1320 1452 1815 1936 2420 2640 2904 3630 4840 5808 7260 9680 14520 29040 35851 71702 107553 143404 179255 215106 286808 358510 394361 430212 537765 573616 717020 788722 860424 1075530 1183083 1434040 1577444 1720848 1971805 2151060 2366166 2868080 3154888 3943610 4302120 4337971 4732332 5915415 6309776 7887220 8604240 8675942 9464664 11830830 13013913 15774440 17351884 18929328 21689855 23661660 26027826 31548880 34703768 43379710 47323320 52055652 65069565 69407536 86759420 94646640 104111304 130139130 173518840 208222608 260278260 347037680 520556520 1041113040