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4144304101113 = 32112337237120747
BaseRepresentation
bin111100010011101011110…
…001100001011011111001
3112200012011200022120102200
4330103223301201123321
51020400013322213423
612451511135420413
7605262501426141
oct74235361413371
915605150276380
104144304101113
111358653694670
1256b23b084709
13240a632b4807
1410482a441921
1572c099c0d43
hex3c4ebc616f9

4144304101113 has 96 divisors (see below), whose sum is σ = 7001810629632. Its totient is φ = 2336464310400.

The previous prime is 4144304101109. The next prime is 4144304101117. The reversal of 4144304101113 is 3111014034414.

4144304101113 is a `hidden beast` number, since 4 + 1 + 443 + 0 + 4 + 101 + 113 = 666.

It is an interprime number because it is at equal distance from previous prime (4144304101109) and next prime (4144304101117).

It is not a de Polignac number, because 4144304101113 - 22 = 4144304101109 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4144304101117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199744006 + ... + 199764752.

It is an arithmetic number, because the mean of its divisors is an integer number (72935527392).

Almost surely, 24144304101113 is an apocalyptic number.

It is an amenable number.

4144304101113 is a deficient number, since it is larger than the sum of its proper divisors (2857506528519).

4144304101113 is a wasteful number, since it uses less digits than its factorization.

4144304101113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23195 (or 23192 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 4144304101113 its reverse (3111014034414), we get a palindrome (7255318135527).

The spelling of 4144304101113 in words is "four trillion, one hundred forty-four billion, three hundred four million, one hundred one thousand, one hundred thirteen".

Divisors: 1 3 9 11 23 33 37 69 99 111 207 253 333 407 759 851 1221 2277 2371 2553 3663 7113 7659 9361 20747 21339 26081 28083 54533 62241 78243 84249 87727 163599 186723 228217 234729 263181 477181 490797 599863 684651 767639 789543 964997 1431543 1799589 2017721 2053953 2302917 2894991 4294629 5248991 5398767 6053163 6908751 8444029 8684973 15746973 17655697 18159489 22194931 25332087 47240919 49191137 52967091 66584793 75996261 147573411 158901273 194212667 199754379 442720233 541102507 582638001 1131396151 1623307521 1747914003 1820072069 3394188453 4869922563 5460216207 10182565359 12445357661 16380648621 20020792759 37336072983 41861657587 60062378277 112008218949 125584972761 180187134831 376754918283 460478233457 1381434700371 4144304101113