Search a number
-
+
1341110140400 = 245210364750311
BaseRepresentation
bin10011100001000000011…
…001001011110111110000
311202012122021022222001202
4103201000121023313300
5133433043143443100
62504033020350332
7165614650051202
oct23410031136760
94665567288052
101341110140400
11477841791138
12197abb0a53a8
139960a16b0c4
1448ca5374772
1524d430e77d5
hex1384064bdf0

1341110140400 has 120 divisors (see below), whose sum is σ = 3258391878144. Its totient is φ = 530404243200.

The previous prime is 1341110140289. The next prime is 1341110140421. The reversal of 1341110140400 is 40410111431.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 26631245 + ... + 26681555.

Almost surely, 21341110140400 is an apocalyptic number.

1341110140400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341110140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629195939072).

1341110140400 is an abundant number, since it is smaller than the sum of its proper divisors (1917281737744).

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

1341110140400 is a wasteful number, since it uses less digits than its factorization.

1341110140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51079 (or 51068 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1341110140400 its reverse (40410111431), we get a palindrome (1381520251831).

The spelling of 1341110140400 in words is "one trillion, three hundred forty-one billion, one hundred ten million, one hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 103 200 206 400 412 515 647 824 1030 1294 1648 2060 2575 2588 3235 4120 5150 5176 6470 8240 10300 10352 12940 16175 20600 25880 32350 41200 50311 51760 64700 66641 100622 129400 133282 201244 251555 258800 266564 333205 402488 503110 533128 666410 804976 1006220 1066256 1257775 1332820 1666025 2012440 2515550 2665640 3332050 4024880 5031100 5182033 5331280 6664100 10062200 10364066 13328200 20124400 20728132 25910165 26656400 32551217 41456264 51820330 65102434 82912528 103640660 129550825 130204868 162756085 207281320 259101650 260409736 325512170 414562640 518203300 520819472 651024340 813780425 1036406600 1302048680 1627560850 2072813200 2604097360 3255121700 3352775351 6510243400 6705550702 13020486800 13411101404 16763876755 26822202808 33527753510 53644405616 67055507020 83819383775 134111014040 167638767550 268222028080 335277535100 670555070200 1341110140400