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1044132213440 = 26559197280729
BaseRepresentation
bin11110011000110110010…
…00010011001011000000
310200211002100222011011202
433030123020103023000
5114101340321312230
62115400121000332
7135302366243231
oct17143310231300
93624070864152
101044132213440
113728a5461068
1214a4399230a8
13775cc4818c4
1438771743088
151c260ddca45
hexf31b2132c0

1044132213440 has 112 divisors (see below), whose sum is σ = 2541325168800. Its totient is φ = 408488435712.

The previous prime is 1044132213433. The next prime is 1044132213469. The reversal of 1044132213440 is 443122314401.

It is a super-2 number, since 2×10441322134402 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3578996 + ... + 3859724.

Almost surely, 21044132213440 is an apocalyptic number.

1044132213440 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 1044132213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270662584400).

1044132213440 is an abundant number, since it is smaller than the sum of its proper divisors (1497192955360).

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

1044132213440 is a wasteful number, since it uses less digits than its factorization.

1044132213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281002 (or 280992 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 1044132213440 its reverse (443122314401), we get a palindrome (1487254527841).

The spelling of 1044132213440 in words is "one trillion, forty-four billion, one hundred thirty-two million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 160 197 236 295 320 394 472 590 788 944 985 1180 1576 1888 1970 2360 3152 3776 3940 4720 6304 7880 9440 11623 12608 15760 18880 23246 31520 46492 58115 63040 92984 116230 185968 232460 280729 371936 464920 561458 743872 929840 1122916 1403645 1859680 2245832 2807290 3719360 4491664 5614580 8983328 11229160 16563011 17966656 22458320 33126022 44916640 55303613 66252044 82815055 89833280 110607226 132504088 165630110 221214452 265008176 276518065 331260220 442428904 530016352 553036130 662520440 884857808 1060032704 1106072260 1325040880 1769715616 2212144520 2650081760 3262913167 3539431232 4424289040 5300163520 6525826334 8848578080 13051652668 16314565835 17697156160 26103305336 32629131670 52206610672 65258263340 104413221344 130516526680 208826442688 261033053360 522066106720 1044132213440