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1144311402420 = 2232543491461781
BaseRepresentation
bin10000101001101110010…
…001100100111110110100
311001101200000210020111100
4100221232101210332310
5122222022204334140
62233404524410100
7145450050301464
oct20515621447664
94041600706440
101144311402420
11401332a5552a
121659376a6930
1383ba6140014
143d5564c9ba4
151eb75c20530
hex10a6e464fb4

1144311402420 has 72 divisors (see below), whose sum is σ = 3471878428200. Its totient is φ = 305079333120.

The previous prime is 1144311402407. The next prime is 1144311402527. The reversal of 1144311402420 is 242041134411.

It can be written as a sum of positive squares in 4 ways, for example, as 164282681124 + 980028721296 = 405318^2 + 989964^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51930 + ... + 1513710.

It is an arithmetic number, because the mean of its divisors is an integer number (48220533725).

Almost surely, 21144311402420 is an apocalyptic number.

1144311402420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144311402420 is an abundant number, since it is smaller than the sum of its proper divisors (2327567025780).

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

1144311402420 is a wasteful number, since it uses less digits than its factorization.

1144311402420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466145 (or 1466140 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1144311402420 its reverse (242041134411), we get a palindrome (1386352536831).

The spelling of 1144311402420 in words is "one trillion, one hundred forty-four billion, three hundred eleven million, four hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4349 8698 13047 17396 21745 26094 39141 43490 52188 65235 78282 86980 130470 156564 195705 260940 391410 782820 1461781 2923562 4385343 5847124 7308905 8770686 13156029 14617810 17541372 21926715 26312058 29235620 43853430 52624116 65780145 87706860 131560290 263120580 6357285569 12714571138 19071856707 25429142276 31786427845 38143713414 57215570121 63572855690 76287426828 95359283535 114431140242 127145711380 190718567070 228862280484 286077850605 381437134140 572155701210 1144311402420