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4144251303445 = 5111937641167213
BaseRepresentation
bin111100010011101000101…
…000000111011000010101
3112200012000222222011122111
4330103220220013120111
51020344411313202240
612451502012031021
7605261260600111
oct74235050073025
915605028864574
104144251303445
111358626902a30
1256b225462471
13240a55389ba6
1410482341a741
1572c050421ea
hex3c4e8a07615

4144251303445 has 64 divisors (see below), whose sum is σ = 5874267951360. Its totient is φ = 2773846425600.

The previous prime is 4144251303431. The next prime is 4144251303449. The reversal of 4144251303445 is 5443031524414.

It is a de Polignac number, because none of the positive numbers 2k-4144251303445 is a prime.

It is a super-2 number, since 2×41442513034452 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4144251303398 and 4144251303407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144251303449) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 24700659 + ... + 24867871.

It is an arithmetic number, because the mean of its divisors is an integer number (91785436740).

Almost surely, 24144251303445 is an apocalyptic number.

It is an amenable number.

4144251303445 is a deficient number, since it is larger than the sum of its proper divisors (1730016647915).

4144251303445 is a wasteful number, since it uses less digits than its factorization.

4144251303445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167926.

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 4144251303445 its reverse (5443031524414), we get a palindrome (9587282827859).

The spelling of 4144251303445 in words is "four trillion, one hundred forty-four billion, two hundred fifty-one million, three hundred three thousand, four hundred forty-five".

Divisors: 1 5 11 19 37 55 95 185 209 407 641 703 1045 2035 3205 3515 7051 7733 12179 23717 35255 38665 60895 118585 133969 167213 260887 450623 669845 836065 1304435 1839343 2253115 3177047 4956853 6186881 9196715 15885235 24784265 30934405 34947517 68055691 107183533 117550739 174737585 340278455 535917665 587753695 1179018863 1293058129 2036487127 3965790721 5895094315 6465290645 10182435635 19828953605 22401358397 43623697931 75350023699 112006791985 218118489655 376750118495 828850260689 4144251303445