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12154402143040 = 265327171160941
BaseRepresentation
bin1011000011011110101011…
…0100100111101101000000
31121000221122011221122122211
42300313222310213231000
53043114203422034130
641503353311511504
72363061262406023
oct260675264475500
947027564848584
1012154402143040
1139667201661a3
121443730828594
136a2202ca25c1
143003c1c851ba
1516126d20da2a
hexb0dead27b40

12154402143040 has 56 divisors (see below), whose sum is σ = 28943579671272. Its totient is φ = 4861608069120.

The previous prime is 12154402143007. The next prime is 12154402143041. The reversal of 12154402143040 is 4034120445121.

It is a happy number.

12154402143040 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 4 ways, for example, as 3128030853376 + 9026371289664 = 1768624^2 + 3004392^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12154402142993 and 12154402143011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12154402143041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9888970 + ... + 11049910.

It is an arithmetic number, because the mean of its divisors is an integer number (516849636987).

Almost surely, 212154402143040 is an apocalyptic number.

12154402143040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12154402143040 is an abundant number, since it is smaller than the sum of its proper divisors (16789177528232).

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

12154402143040 is a wasteful number, since it uses less digits than its factorization.

12154402143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193675 (or 1193665 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 12154402143040 its reverse (4034120445121), we get a palindrome (16188522588161).

The spelling of 12154402143040 in words is "twelve trillion, one hundred fifty-four billion, four hundred two million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 32717 65434 130868 163585 261736 327170 523472 654340 1046944 1160941 1308680 2093888 2321882 2617360 4643764 5234720 5804705 9287528 10469440 11609410 18575056 23218820 37150112 46437640 74300224 92875280 185750560 371501120 37982506697 75965013394 151930026788 189912533485 303860053576 379825066970 607720107152 759650133940 1215440214304 1519300267880 2430880428608 3038600535760 6077201071520 12154402143040