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44136144163144 = 23113494493200663
BaseRepresentation
bin10100000100100001111110…
…01100011101000101001000
312210021101002202212210012101
422002100333030131011020
521241111310401210034
6233511510440123144
712203505540252235
oct1202207714350510
9183241082783171
1044136144163144
1113077040831550
124b49a694664b4
131b8203616a9c7
14ac82b4cdc78c
1551813814d514
hex28243f31d148

44136144163144 has 64 divisors (see below), whose sum is σ = 90738824400000. Its totient is φ = 19959840337920.

The previous prime is 44136144163081. The next prime is 44136144163187.

It is a happy number.

44136144163144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44136144163094 and 44136144163103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12189357 + ... + 15390019.

It is an arithmetic number, because the mean of its divisors is an integer number (1417794131250).

Almost surely, 244136144163144 is an apocalyptic number.

44136144163144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44136144163144 is an abundant number, since it is smaller than the sum of its proper divisors (46602680236856).

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

44136144163144 is a wasteful number, since it uses less digits than its factorization.

44136144163144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201478 (or 3201474 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 46.

It can be divided in two parts, 4413614 and 4163144, that added together give a palindrome (8576758).

The spelling of 44136144163144 in words is "forty-four trillion, one hundred thirty-six billion, one hundred forty-four million, one hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 349 449 698 898 1396 1796 2792 3592 3839 4939 7678 9878 15356 19756 30712 39512 156701 313402 626804 1253608 1723711 3200663 3447422 6401326 6894844 12802652 13789688 25605304 35207293 70414586 140829172 281658344 1117031387 1437097687 2234062774 2874195374 4468125548 5748390748 8936251096 11496781496 12287345257 15808074557 24574690514 31616149114 49149381028 63232298228 98298762056 126464596456 501547092763 1003094185526 2006188371052 4012376742104 5517018020393 11034036040786 22068072081572 44136144163144