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1054312014400 = 26522328649783
BaseRepresentation
bin11110101011110011110…
…01001010001001000000
310201210100211001121211221
433111321321022021000
5114233212333430100
62124202205244424
7136112556154231
oct17257171121100
93653324047757
101054312014400
11377149712207
121503bab63714
13785624a3478
143905970b088
151c65996501a
hexf579e4a240

1054312014400 has 84 divisors (see below), whose sum is σ = 2707060790592. Its totient is φ = 403388930560.

The previous prime is 1054312014383. The next prime is 1054312014439. The reversal of 1054312014400 is 44102134501.

It is a super-2 number, since 2×10543120144002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 14288092 + ... + 14361691.

Almost surely, 21054312014400 is an apocalyptic number.

1054312014400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054312014400 is an abundant number, since it is smaller than the sum of its proper divisors (1652748776192).

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

1054312014400 is a wasteful number, since it uses less digits than its factorization.

1054312014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28649828 (or 28649813 counting only the distinct ones).

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

Adding to 1054312014400 its reverse (44102134501), we get a palindrome (1098414148901).

The spelling of 1054312014400 in words is "one trillion, fifty-four billion, three hundred twelve million, fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 160 184 200 230 320 368 400 460 575 736 800 920 1150 1472 1600 1840 2300 3680 4600 7360 9200 18400 36800 28649783 57299566 114599132 143248915 229198264 286497830 458396528 572995660 658945009 716244575 916793056 1145991320 1317890018 1432489150 1833586112 2291982640 2635780036 2864978300 3294725045 4583965280 5271560072 5729956600 6589450090 9167930560 10543120144 11459913200 13178900180 16473625225 21086240288 22919826400 26357800360 32947250450 42172480576 45839652800 52715600720 65894500900 105431201440 131789001800 210862402880 263578003600 527156007200 1054312014400