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2143144202144 = 251138317339173
BaseRepresentation
bin11111001011111101010…
…110010100111110100000
321120212211101220202012112
4133023331112110332200
5240103124403432034
64320314042014452
7310560053101331
oct37137526247640
97525741822175
102143144202144
117569a20375a0
122a74327a7428
131271366597ba
1475a2b900288
153ab34c797ce
hex1f2fd594fa0

2143144202144 has 96 divisors (see below), whose sum is σ = 4618073585664. Its totient is φ = 970946452480.

The previous prime is 2143144202093. The next prime is 2143144202179. The reversal of 2143144202144 is 4412024413412.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2143144202144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233631542 + ... + 233640714.

It is an arithmetic number, because the mean of its divisors is an integer number (48104933184).

Almost surely, 22143144202144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2143144202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309036792832).

2143144202144 is an abundant number, since it is smaller than the sum of its proper divisors (2474929383520).

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

2143144202144 is a wasteful number, since it uses less digits than its factorization.

2143144202144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11310 (or 11302 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 2143144202144 its reverse (4412024413412), we get a palindrome (6555168615556).

The spelling of 2143144202144 in words is "two trillion, one hundred forty-three billion, one hundred forty-four million, two hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 383 766 1532 1733 3064 3466 4213 6128 6932 8426 9173 12256 13864 16852 18346 19063 27728 33704 36692 38126 55456 67408 73384 76252 100903 134816 146768 152504 201806 293536 305008 403612 610016 663739 807224 1327478 1614448 2654956 3228896 3513259 5309912 7026518 7301129 10619824 14053036 14602258 15896809 21239648 28106072 29204516 31793618 38645849 56212144 58409032 63587236 77291698 112424288 116818064 127174472 154583396 174864899 233636128 254348944 309166792 349729798 508697888 618333584 699459596 1236667168 1398919192 2797838384 5595676768 6088477847 12176955694 24353911388 48707822776 66973256317 97415645552 133946512634 194831291104 267893025268 535786050536 1071572101072 2143144202144