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4144114014132 = 22317163712409459
BaseRepresentation
bin111100010011100000011…
…100011001011110110100
3112200011200102122011010010
4330103200130121132310
51020344121141423012
612451440225300220
7605255002626531
oct74234034313664
915604612564103
104144114014132
111358566362494
1256b1a7494670
13240a32abb601
1410480d0bdd88
1572be7e73c3c
hex3c4e07197b4

4144114014132 has 48 divisors (see below), whose sum is σ = 10244654521920. Its totient is φ = 1299319890432.

The previous prime is 4144114014121. The next prime is 4144114014133. The reversal of 4144114014132 is 2314104114414.

4144114014132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4144114014132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144114014133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5870782 + ... + 6538677.

It is an arithmetic number, because the mean of its divisors is an integer number (213430302540).

Almost surely, 24144114014132 is an apocalyptic number.

It is an amenable number.

4144114014132 is an abundant number, since it is smaller than the sum of its proper divisors (6100540507788).

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

4144114014132 is a wasteful number, since it uses less digits than its factorization.

4144114014132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12411120 (or 12411118 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 4144114014132 its reverse (2314104114414), we get a palindrome (6458218128546).

The spelling of 4144114014132 in words is "four trillion, one hundred forty-four billion, one hundred fourteen million, fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 1637 3274 4911 6548 9822 19644 27829 55658 83487 111316 166974 333948 12409459 24818918 37228377 49637836 74456754 148913508 210960803 421921606 632882409 843843212 1265764818 2531529636 20314284383 40628568766 60942853149 81257137532 121885706298 243771412596 345342834511 690685669022 1036028503533 1381371338044 2072057007066 4144114014132