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1054035521240 = 235133761898091
BaseRepresentation
bin11110101011010010110…
…10011010111011011000
310201202122112210022112112
433111221122122323120
5114232131043134430
62124114531131452
7136102661050562
oct17255132327330
93652575708475
101054035521240
11377017633869
12150342443b88
137851a116050
1439030ad6332
151c64054b195
hexf56969aed8

1054035521240 has 128 divisors (see below), whose sum is σ = 2666039987520. Its totient is φ = 372455884800.

The previous prime is 1054035521239. The next prime is 1054035521291. The reversal of 1054035521240 is 421255304501.

It is a super-2 number, since 2×10540355212402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054035521197 and 1054035521206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 724595 + ... + 1622685.

Almost surely, 21054035521240 is an apocalyptic number.

1054035521240 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 1054035521240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333019993760).

1054035521240 is an abundant number, since it is smaller than the sum of its proper divisors (1612004466280).

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

1054035521240 is a wasteful number, since it uses less digits than its factorization.

1054035521240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898213 (or 898209 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 1054035521240 in words is "one trillion, fifty-four billion, thirty-five million, five hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 61 65 74 104 122 130 148 185 244 260 296 305 370 481 488 520 610 740 793 962 1220 1480 1586 1924 2257 2405 2440 3172 3848 3965 4514 4810 6344 7930 9028 9620 11285 15860 18056 19240 22570 29341 31720 45140 58682 90280 117364 146705 234728 293410 586820 898091 1173640 1796182 3592364 4490455 7184728 8980910 11675183 17961820 23350366 33229367 35923640 46700732 54783551 58375915 66458734 93401464 109567102 116751830 132917468 166146835 219134204 233503660 265834936 273917755 332293670 431981771 438268408 467007320 547835510 664587340 712186163 863963542 1095671020 1329174680 1424372326 1727927084 2026991387 2159908855 2191342040 2848744652 3455854168 3560930815 4053982774 4319817710 5697489304 7121861630 8107965548 8639635420 10134956935 14243723260 16215931096 17279270840 20269913870 26350888031 28487446520 40539827740 52701776062 81079655480 105403552124 131754440155 210807104248 263508880310 527017760620 1054035521240