Search a number
-
+
41140402234000 = 245345745011381
BaseRepresentation
bin10010101101010101111110…
…00011111010001010010000
312101122222120100220220212021
421112222333003322022100
520343021020432442000
6223255350113541224
711444203343066656
oct1126527703721220
9171588510826767
1041140402234000
11121216015954a3
124745351574814
1319c56a5869674
14a232c5736dd6
154b525265a11a
hex256abf0fa290

41140402234000 has 80 divisors (see below), whose sum is σ = 99695169855216. Its totient is φ = 16420151424000.

The previous prime is 41140402233937. The next prime is 41140402234031. The reversal of 41140402234000 is 43220404114.

41140402234000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 219458519296 + 40920943714704 = 468464^2 + 6396948^2 .

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

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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21591691 + ... + 23419690.

Almost surely, 241140402234000 is an apocalyptic number.

41140402234000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41140402234000 is an abundant number, since it is smaller than the sum of its proper divisors (58554767621216).

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

41140402234000 is a wasteful number, since it uses less digits than its factorization.

41140402234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45011861 (or 45011845 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 41140402234000 its reverse (43220404114), we get a palindrome (41183622638114).

The spelling of 41140402234000 in words is "forty-one trillion, one hundred forty billion, four hundred two million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 457 500 914 1000 1828 2000 2285 3656 4570 7312 9140 11425 18280 22850 36560 45700 57125 91400 114250 182800 228500 457000 914000 45011381 90022762 180045524 225056905 360091048 450113810 720182096 900227620 1125284525 1800455240 2250569050 3600910480 4501138100 5626422625 9002276200 11252845250 18004552400 20570201117 22505690500 41140402234 45011381000 82280804468 90022762000 102851005585 164561608936 205702011170 329123217872 411404022340 514255027925 822808044680 1028510055850 1645616089360 2057020111700 2571275139625 4114040223400 5142550279250 8228080446800 10285100558500 20570201117000 41140402234000