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4144241121432 = 2331723676591469
BaseRepresentation
bin111100010011101000000…
…001010001100010011000
3112200012000021210212112220
4330103220001101202120
51020344401211341212
612451501005504040
7605261105211666
oct74235001214230
915605007725486
104144241121432
111358621089045
1256b221b72020
13240a53233529
14104821d29c36
1572c041d038c
hex3c4e8051898

4144241121432 has 128 divisors (see below), whose sum is σ = 11617861363200. Its totient is φ = 1225063876608.

The previous prime is 4144241121431. The next prime is 4144241121437. The reversal of 4144241121432 is 2341211424414.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4144241121393 and 4144241121402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144241121431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2667007 + ... + 3924462.

It is an arithmetic number, because the mean of its divisors is an integer number (90764541900).

Almost surely, 24144241121432 is an apocalyptic number.

It is an amenable number.

4144241121432 is an abundant number, since it is smaller than the sum of its proper divisors (7473620241768).

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

4144241121432 is a wasteful number, since it uses less digits than its factorization.

4144241121432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6591585 (or 6591581 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

Adding to 4144241121432 its reverse (2341211424414), we get a palindrome (6485452545846).

The spelling of 4144241121432 in words is "four trillion, one hundred forty-four billion, two hundred forty-one million, one hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 67 68 69 92 102 134 136 138 184 201 204 268 276 391 402 408 536 552 782 804 1139 1173 1541 1564 1608 2278 2346 3082 3128 3417 4556 4623 4692 6164 6834 9112 9246 9384 12328 13668 18492 26197 27336 36984 52394 78591 104788 157182 209576 314364 628728 6591469 13182938 19774407 26365876 39548814 52731752 79097628 112054973 151603787 158195256 224109946 303207574 336164919 441628423 448219892 454811361 606415148 672329838 883256846 896439784 909622722 1212830296 1324885269 1344659676 1766513692 1819245444 2577264379 2649770538 2689319352 3533027384 3638490888 5154528758 5299541076 7507683191 7731793137 10157453729 10309057516 10599082152 15015366382 15463586274 20314907458 20618115032 22523049573 30030732764 30472361187 30927172548 40629814916 45046099146 60061465528 60944722374 61854345096 81259629832 90092198292 121889444748 172676713393 180184396584 243778889496 345353426786 518030140179 690706853572 1036060280358 1381413707144 2072120560716 4144241121432