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42015115054000 = 2453111909777957
BaseRepresentation
bin10011000110110011010000…
…00000100000101110110000
312111202121100121102011101101
421203121220000200232300
521001333423423212000
6225205251041214144
711564330501302444
oct1143315000405660
9174677317364341
1042015115054000
1112429568130720
124866989031354
131a5a01545c76a
14a5378457c824
154ccd99b88e6a
hex263668020bb0

42015115054000 has 80 divisors (see below), whose sum is σ = 110828234458656. Its totient is φ = 15278223648000.

The previous prime is 42015115053971. The next prime is 42015115054001. The reversal of 42015115054000 is 45051151024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×420151150540003 (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42015115054000.

It is not an unprimeable number, because it can be changed into a prime (42015115054001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 954866979 + ... + 954910978.

Almost surely, 242015115054000 is an apocalyptic number.

42015115054000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42015115054000 is an abundant number, since it is smaller than the sum of its proper divisors (68813119404656).

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

42015115054000 is a wasteful number, since it uses less digits than its factorization.

42015115054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909777991 (or 1909777975 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The spelling of 42015115054000 in words is "forty-two trillion, fifteen billion, one hundred fifteen million, fifty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 1909777957 3819555914 7639111828 9548889785 15278223656 19097779570 21007557527 30556447312 38195559140 42015115054 47744448925 76391118280 84030230108 95488897850 105037787635 152782236560 168060460216 190977795700 210075575270 238722244625 336120920432 381955591400 420151150540 477444489250 525188938175 763911182800 840302301080 954888978500 1050377876350 1680604602160 1909777957000 2100755752700 2625944690875 3819555914000 4201511505400 5251889381750 8403023010800 10503778763500 21007557527000 42015115054000