Search a number
-
+
1445325131400 = 233528329022593
BaseRepresentation
bin10101000010000100000…
…101110100111010001000
312010011122012020000222020
4111002010011310322020
5142140011213201100
63023550113324440
7206264334625203
oct25020405647210
95104565200866
101445325131400
11507a603a2377
121b4144566720
13a63a7ca4a57
144dd5011093a
15278e23c35a0
hex15084174e88

1445325131400 has 96 divisors (see below), whose sum is σ = 4534490086560. Its totient is φ = 380776407040.

The previous prime is 1445325131399. The next prime is 1445325131407. The reversal of 1445325131400 is 41315235441.

It is not an unprimeable number, because it can be changed into a prime (1445325131407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14461497 + ... + 14561096.

It is an arithmetic number, because the mean of its divisors is an integer number (47234271735).

Almost surely, 21445325131400 is an apocalyptic number.

1445325131400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1445325131400 is an abundant number, since it is smaller than the sum of its proper divisors (3089164955160).

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

1445325131400 is a wasteful number, since it uses less digits than its factorization.

1445325131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29022695 (or 29022686 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 1445325131400 in words is "one trillion, four hundred forty-five billion, three hundred twenty-five million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 150 166 200 249 300 332 415 498 600 664 830 996 1245 1660 1992 2075 2490 3320 4150 4980 6225 8300 9960 12450 16600 24900 49800 29022593 58045186 87067779 116090372 145112965 174135558 232180744 290225930 348271116 435338895 580451860 696542232 725564825 870677790 1160903720 1451129650 1741355580 2176694475 2408875219 2902259300 3482711160 4353388950 4817750438 5804518600 7226625657 8706777900 9635500876 12044376095 14453251314 17413555800 19271001752 24088752190 28906502628 36133128285 48177504380 57813005256 60221880475 72266256570 96355008760 120443760950 144532513140 180665641425 240887521900 289065026280 361331282850 481775043800 722662565700 1445325131400