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10141411223424 = 2731312697160001
BaseRepresentation
bin1001001110010011101100…
…1101101010011110000000
31022220111202101101201011210
42103210323031222132000
52312124102233122144
633322522222210120
72064456424042515
oct223447315523600
938814671351153
1010141411223424
11325aa48282208
121179582123940
1358743c1c8660
14270bbdd5130c
15128c049c4ab9
hex9393b36a780

10141411223424 has 128 divisors (see below), whose sum is σ = 29012753054880. Its totient is φ = 3120168960000.

The previous prime is 10141411223389. The next prime is 10141411223429. The reversal of 10141411223424 is 42432211414101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 10141411223391 and 10141411223400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141411223429) 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, 63303424 + ... + 63463424.

Almost surely, 210141411223424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10141411223424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14506376527440).

10141411223424 is an abundant number, since it is smaller than the sum of its proper divisors (18871341831456).

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

10141411223424 is a wasteful number, since it uses less digits than its factorization.

10141411223424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172728 (or 172716 counting only the distinct ones).

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

Adding to 10141411223424 its reverse (42432211414101), we get a palindrome (52573622637525).

The spelling of 10141411223424 in words is "ten trillion, one hundred forty-one billion, four hundred eleven million, two hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 12697 25394 38091 50788 76182 101576 152364 160001 165061 203152 304728 320002 330122 406304 480003 495183 609456 640004 660244 812608 960006 990366 1218912 1280008 1320488 1625216 1920012 1980732 2080013 2437824 2560016 2640976 3840024 3961464 4160026 4875648 5120032 5281952 6240039 7680048 7922928 8320052 10240064 10563904 12480078 15360096 15845856 16640104 20480128 21127808 24960156 30720192 31691712 33280208 49920312 61440384 63383424 66560416 99840624 133120832 199681248 266241664 399362496 798724992 2031532697 4063065394 6094598091 8126130788 12189196182 16252261576 24378392364 26409925061 32504523152 48756784728 52819850122 65009046304 79229775183 97513569456 105639700244 130018092608 158459550366 195027138912 211279400488 260036185216 316919100732 390054277824 422558800976 633838201464 780108555648 845117601952 1267676402928 1690235203904 2535352805856 3380470407808 5070705611712 10141411223424