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4144441340144 = 247371099175289
BaseRepresentation
bin111100010011110011111…
…101000011000011110000
3112200012112020120000222202
4330103303331003003300
51020400303440341034
612451532521122332
7605266056100010
oct74236375030360
915605466500882
104144441340144
111358714100356
1256b2790293a8
13240a85866241
14104840767c40
1572c16a7e47e
hex3c4f3f430f0

4144441340144 has 80 divisors (see below), whose sum is σ = 9511472625600. Its totient is φ = 1712328947712.

The previous prime is 4144441340141. The next prime is 4144441340167. The reversal of 4144441340144 is 4410431444414.

It is a junction number, because it is equal to n+sod(n) for n = 4144441340098 and 4144441340107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144441340141) 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, 4135949 + ... + 5039340.

It is an arithmetic number, because the mean of its divisors is an integer number (118893407820).

Almost surely, 24144441340144 is an apocalyptic number.

It is an amenable number.

4144441340144 is an abundant number, since it is smaller than the sum of its proper divisors (5367031285456).

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

4144441340144 is a wasteful number, since it uses less digits than its factorization.

4144441340144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9175450 (or 9175444 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 38.

Adding to 4144441340144 its reverse (4410431444414), we get a palindrome (8554872784558).

The spelling of 4144441340144 in words is "four trillion, one hundred forty-four billion, four hundred forty-one million, three hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 109 112 148 218 259 296 436 518 592 763 872 1036 1526 1744 2072 3052 4033 4144 6104 8066 12208 16132 28231 32264 56462 64528 112924 225848 451696 9175289 18350578 36701156 64227023 73402312 128454046 146804624 256908092 339485693 513816184 678971386 1000106501 1027632368 1357942772 2000213002 2376399851 2715885544 4000426004 4752799702 5431771088 7000745507 8000852008 9505599404 14001491014 16001704016 19011198808 28002982028 37003940537 38022397616 56005964056 74007881074 112011928112 148015762148 259027583759 296031524296 518055167518 592063048592 1036110335036 2072220670072 4144441340144