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1053154142320 = 24573291323457
BaseRepresentation
bin11110101001101001110…
…00001110100001110000
310201200101010022121221211
433110310320032201300
5114223324430023240
62123451244125504
7136042066336000
oct17246470164160
93650333277854
101053154142320
1137670506a835
12150137236894
137840963c267
1438d89a26000
151c5dce9bbea
hexf534e0e870

1053154142320 has 160 divisors (see below), whose sum is σ = 2953958256000. Its totient is φ = 348630073344.

The previous prime is 1053154142297. The next prime is 1053154142363. The reversal of 1053154142320 is 232414513501.

It is a super-2 number, since 2×10531541423202 (a number of 25 digits) contains 22 as substring.

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, 134032 + ... + 1457488.

It is an arithmetic number, because the mean of its divisors is an integer number (18462239100).

Almost surely, 21053154142320 is an apocalyptic number.

1053154142320 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 1053154142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476979128000).

1053154142320 is an abundant number, since it is smaller than the sum of its proper divisors (1900804113680).

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

1053154142320 is a wasteful number, since it uses less digits than its factorization.

1053154142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323520 (or 1323500 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 1053154142320 its reverse (232414513501), we get a palindrome (1285568655821).

The spelling of 1053154142320 in words is "one trillion, fifty-three billion, one hundred fifty-four million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 49 56 58 70 80 98 112 116 140 145 196 203 232 245 280 290 343 392 406 464 490 560 580 686 784 812 980 1015 1160 1372 1421 1624 1715 1960 2030 2320 2744 2842 3248 3430 3920 4060 5488 5684 6860 7105 8120 9947 11368 13720 14210 16240 19894 22736 27440 28420 39788 49735 56840 79576 99470 113680 159152 198940 397880 795760 1323457 2646914 5293828 6617285 9264199 10587656 13234570 18528398 21175312 26469140 37056796 38380253 46320995 52938280 64849393 74113592 76760506 92641990 105876560 129698786 148227184 153521012 185283980 191901265 259397572 268661771 307042024 324246965 370567960 383802530 453945751 518795144 537323542 614084048 648493930 741135920 767605060 907891502 1037590288 1074647084 1296987860 1343308855 1535210120 1815783004 1880632397 2149294168 2269728755 2593975720 2686617710 3070420240 3631566008 3761264794 4298588336 4539457510 5187951440 5373235420 7263132016 7522529588 9078915020 9403161985 10746470840 13164426779 15045059176 18157830040 18806323970 21492941680 26328853558 30090118352 36315660080 37612647940 52657707116 65822133895 75225295880 105315414232 131644267790 150450591760 210630828464 263288535580 526577071160 1053154142320