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1044113554040 = 235236199718661
BaseRepresentation
bin11110011000110100000…
…01000111101001111000
310200211001001212011021212
433030122001013221320
5114101321032212130
62115354213022252
7135302051526524
oct17143201075170
93624031764255
101044113554040
11372895976a77
1214a433624988
13775c864a73b
143876d086d84
151c25e453e95
hexf31a047a78

1044113554040 has 128 divisors (see below), whose sum is σ = 2494216609920. Its totient is φ = 392522803200.

The previous prime is 1044113554039. The next prime is 1044113554051. The reversal of 1044113554040 is 404553114401.

It is a super-2 number, since 2×10441135540402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1044113553988 and 1044113554006.

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 31 ways as a sum of consecutive naturals, for example, 55942310 + ... + 55960970.

It is an arithmetic number, because the mean of its divisors is an integer number (19486067265).

Almost surely, 21044113554040 is an apocalyptic number.

1044113554040 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 1044113554040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247108304960).

1044113554040 is an abundant number, since it is smaller than the sum of its proper divisors (1450103055880).

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

1044113554040 is a wasteful number, since it uses less digits than its factorization.

1044113554040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19753 (or 19749 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 1044113554040 its reverse (404553114401), we get a palindrome (1448666668441).

The spelling of 1044113554040 in words is "one trillion, forty-four billion, one hundred thirteen million, five hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 61 92 115 122 184 230 244 305 460 488 610 920 997 1220 1403 1994 2440 2806 3988 4985 5612 7015 7976 9970 11224 14030 18661 19940 22931 28060 37322 39880 45862 56120 60817 74644 91724 93305 114655 121634 149288 183448 186610 229310 243268 304085 373220 429203 458620 486536 608170 746440 858406 917240 1138321 1216340 1398791 1716812 2146015 2276642 2432680 2797582 3433624 4292030 4553284 5595164 5691605 6993955 8584060 9106568 11190328 11383210 13987910 17168120 18605017 22766420 26181383 27975820 37210034 45532840 52362766 55951640 74420068 93025085 104725532 130906915 148840136 186050170 209451064 261813830 372100340 427915391 523627660 744200680 855830782 1047255320 1134906037 1711661564 2139576955 2269812074 3423323128 4279153910 4539624148 5674530185 8558307820 9079248296 11349060370 17116615640 22698120740 26102838851 45396241480 52205677702 104411355404 130514194255 208822710808 261028388510 522056777020 1044113554040