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1054140334200 = 23345265070391
BaseRepresentation
bin11110101011011111010…
…10010000000001111000
310201202220212000100220000
433111233222100001320
5114232334411143300
62124133153433000
7136105402666662
oct17255752200170
93652825010800
101054140334200
11377070812348
1215037156b760
1378535a53455
14390409bb532
151c649851c00
hexf56fa90078

1054140334200 has 120 divisors (see below), whose sum is σ = 3661185605880. Its totient is φ = 281104084800.

The previous prime is 1054140334183. The next prime is 1054140334259. The reversal of 1054140334200 is 24330414501.

It is a happy number.

1054140334200 is a `hidden beast` number, since 1 + 0 + 54 + 1 + 403 + 3 + 4 + 200 = 666.

1054140334200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10541403342002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32518996 + ... + 32551395.

It is an arithmetic number, because the mean of its divisors is an integer number (30509880049).

Almost surely, 21054140334200 is an apocalyptic number.

1054140334200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054140334200 is an abundant number, since it is smaller than the sum of its proper divisors (2607045271680).

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

1054140334200 is a wasteful number, since it uses less digits than its factorization.

1054140334200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65070419 (or 65070401 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1054140334200 its reverse (24330414501), we get a palindrome (1078470748701).

The spelling of 1054140334200 in words is "one trillion, fifty-four billion, one hundred forty million, three hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 8100 16200 65070391 130140782 195211173 260281564 325351955 390422346 520563128 585633519 650703910 780844692 976055865 1171267038 1301407820 1561689384 1626759775 1756900557 1952111730 2342534076 2602815640 2928167595 3253519550 3513801114 3904223460 4685068152 4880279325 5270701671 5856335190 6507039100 7027602228 7808446920 8784502785 9760558650 10541403342 11712670380 13014078200 14055204456 14640837975 17569005570 19521117300 21082806684 23425340760 26353508355 29281675950 35138011140 39042234600 42165613368 43922513925 52707016710 58563351900 70276022280 87845027850 105414033420 117126703800 131767541775 175690055700 210828066840 263535083550 351380111400 527070167100 1054140334200