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20341014144 = 273114815581
BaseRepresentation
bin10010111100011010…
…110011111010000000
31221111121012120201020
4102330122303322000
5313124244423034
613202230305440
71320032524143
oct227432637200
957447176636
1020341014144
118698a76aa0
123b381b8280
131bc2235a59
14dad6d405a
157e0b7c249
hex4bc6b3e80

20341014144 has 64 divisors (see below), whose sum is σ = 58942723680. Its totient is φ = 6163942400.

The previous prime is 20341014119. The next prime is 20341014151. The reversal of 20341014144 is 44141014302.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2403567 + ... + 2412014.

Almost surely, 220341014144 is an apocalyptic number.

20341014144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20341014144 is an abundant number, since it is smaller than the sum of its proper divisors (38601709536).

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

20341014144 is a wasteful number, since it uses less digits than its factorization.

20341014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4815609 (or 4815597 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 20341014144 its reverse (44141014302), we get a palindrome (64482028446).

The spelling of 20341014144 in words is "twenty billion, three hundred forty-one million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 4815581 9631162 14446743 19262324 28893486 38524648 52971391 57786972 77049296 105942782 115573944 154098592 158914173 211885564 231147888 308197184 317828346 423771128 462295776 616394368 635656692 847542256 924591552 1271313384 1695084512 1849183104 2542626768 3390169024 5085253536 6780338048 10170507072 20341014144