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1054041132040 = 235133165387167
BaseRepresentation
bin11110101011010011011…
…11110100110000001000
310201202122221100101002221
433111221233310300020
5114232134012211130
62124115251303424
7136103056536601
oct17255157646010
93652587311087
101054041132040
1137701a816296
121503442aab74
137851b32bb50
1439031756da8
151c640ca887a
hexf569bf4c08

1054041132040 has 64 divisors (see below), whose sum is σ = 2636410613760. Its totient is φ = 376630076160.

The previous prime is 1054041131989. The next prime is 1054041132049. The reversal of 1054041132040 is 402311404501.

It is a super-2 number, since 2×10540411320402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054041131996 and 1054041132014.

It is not an unprimeable number, because it can be changed into a prime (1054041132049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32677464 + ... + 32709703.

It is an arithmetic number, because the mean of its divisors is an integer number (41193915840).

Almost surely, 21054041132040 is an apocalyptic number.

1054041132040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054041132040 is an abundant number, since it is smaller than the sum of its proper divisors (1582369481720).

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

1054041132040 is a wasteful number, since it uses less digits than its factorization.

1054041132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65387222 (or 65387218 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 1054041132040 its reverse (402311404501), we get a palindrome (1456352536541).

The spelling of 1054041132040 in words is "one trillion, fifty-four billion, forty-one million, one hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 1240 1612 2015 3224 4030 8060 16120 65387167 130774334 261548668 326935835 523097336 653871670 850033171 1307743340 1700066342 2027002177 2615486680 3400132684 4054004354 4250165855 6800265368 8108008708 8500331710 10135010885 16216017416 17000663420 20270021770 26351028301 34001326840 40540043540 52702056602 81080087080 105404113204 131755141505 210808226408 263510283010 527020566020 1054041132040