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1398857349300 = 2235267490914177
BaseRepresentation
bin10100010110110010011…
…001010011100010110100
311221201200202220010101120
4110112302121103202310
5140404324440134200
62550343131423540
7203030663165625
oct24266231234264
94851622803346
101398857349300
1149a285561974
121a71365b4bb0
13a1bb0c71cb8
144b9c2967a4c
15265c2ba19a0
hex145b26538b4

1398857349300 has 144 divisors (see below), whose sum is σ = 4108895555520. Its totient is φ = 367360266240.

The previous prime is 1398857349299. The next prime is 1398857349343. The reversal of 1398857349300 is 39437588931.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98663812 + ... + 98677988.

Almost surely, 21398857349300 is an apocalyptic number.

1398857349300 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 1398857349300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054447777760).

1398857349300 is an abundant number, since it is smaller than the sum of its proper divisors (2710038206220).

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

1398857349300 is a wasteful number, since it uses less digits than its factorization.

1398857349300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19170 (or 19163 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 1398857349300 in words is "one trillion, three hundred ninety-eight billion, eight hundred fifty-seven million, three hundred forty-nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 670 804 1005 1340 1675 2010 3350 4020 4909 5025 6700 9818 10050 14177 14727 19636 20100 24545 28354 29454 42531 49090 56708 58908 70885 73635 85062 98180 122725 141770 147270 170124 212655 245450 283540 294540 328903 354425 368175 425310 490900 657806 708850 736350 850620 949859 986709 1063275 1315612 1417700 1472700 1644515 1899718 1973418 2126550 2849577 3289030 3799436 3946836 4253100 4749295 4933545 5699154 6578060 8222575 9498590 9867090 11398308 14247885 16445150 18997180 19734180 23746475 24667725 28495770 32890300 47492950 49335450 56991540 69594893 71239425 94985900 98670900 139189786 142478850 208784679 278379572 284957700 347974465 417569358 695948930 835138716 1043923395 1391897860 1739872325 2087846790 3479744650 4175693580 4662857831 5219616975 6959489300 9325715662 10439233950 13988573493 18651431324 20878467900 23314289155 27977146986 46628578310 55954293972 69942867465 93257156620 116571445775 139885734930 233142891550 279771469860 349714337325 466285783100 699428674650 1398857349300