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126043217144 = 231343107263411
BaseRepresentation
bin111010101100011000…
…0101101110011111000
3110001100011112211221122
41311120300231303320
54031114030422034
6133523051324412
712051316445165
oct1653060556370
9401304484848
10126043217144
1149500123659
1220517750708
13bb692050c0
146159ba506c
15342a7c862e
hex1d58c2dcf8

126043217144 has 64 divisors (see below), whose sum is σ = 262864103040. Its totient is φ = 56289663360.

The previous prime is 126043217107. The next prime is 126043217191. The reversal of 126043217144 is 441712340621.

It is a zygodrome in base 3.

It is a congruent number.

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, 346799 + ... + 610209.

It is an arithmetic number, because the mean of its divisors is an integer number (4107251610).

Almost surely, 2126043217144 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 126043217144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131432051520).

126043217144 is an abundant number, since it is smaller than the sum of its proper divisors (136820885896).

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

126043217144 is a wasteful number, since it uses less digits than its factorization.

126043217144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263580 (or 263576 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

Adding to 126043217144 its reverse (441712340621), we get a palindrome (567755557765).

The spelling of 126043217144 in words is "one hundred twenty-six billion, forty-three million, two hundred seventeen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 43 52 86 104 107 172 214 344 428 559 856 1118 1391 2236 2782 4472 4601 5564 9202 11128 18404 36808 59813 119626 239252 263411 478504 526822 1053644 2107288 3424343 6848686 11326673 13697372 22653346 27394744 28184977 45306692 56369954 90613384 112739908 147246749 225479816 294493498 366404701 588986996 732809402 1177973992 1211954011 1465618804 2423908022 2931237608 4847816044 9695632088 15755402143 31510804286 63021608572 126043217144