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1350743156140 = 2257219317228841
BaseRepresentation
bin10011101001111110100…
…100001110010110101100
311210010111121112212102111
4103221332210032112230
5134112310221444030
62512304533333404
7166405450250200
oct23517644162654
94703447485374
101350743156140
11480935330474
12199949197264
139a4b3b06811
144953a888b00
1525208b6462a
hex13a7e90e5ac

1350743156140 has 144 divisors (see below), whose sum is σ = 3484311677280. Its totient is φ = 437351685120.

The previous prime is 1350743156137. The next prime is 1350743156143. The reversal of 1350743156140 is 416513470531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1350743156137) and next prime (1350743156143).

It is a junction number, because it is equal to n+sod(n) for n = 1350743156093 and 1350743156102.

It is not an unprimeable number, because it can be changed into a prime (1350743156143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5788120 + ... + 6016960.

It is an arithmetic number, because the mean of its divisors is an integer number (24196608870).

Almost surely, 21350743156140 is an apocalyptic number.

1350743156140 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 1350743156140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742155838640).

1350743156140 is an abundant number, since it is smaller than the sum of its proper divisors (2133568521140).

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

1350743156140 is a wasteful number, since it uses less digits than its factorization.

1350743156140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229200 (or 229191 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 1350743156140 in words is "one trillion, three hundred fifty billion, seven hundred forty-three million, one hundred fifty-six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 317 380 490 532 634 665 931 980 1268 1330 1585 1862 2219 2660 3170 3724 4438 4655 6023 6340 8876 9310 11095 12046 15533 18620 22190 24092 30115 31066 42161 44380 60230 62132 77665 84322 120460 155330 168644 210805 228841 295127 310660 421610 457682 590254 843220 915364 1144205 1180508 1475635 1601887 2288410 2951270 3203774 4347979 4576820 5902540 6407548 8009435 8695958 11213209 16018870 17391916 21739895 22426418 30435853 32037740 43479790 44852836 56066045 60871706 72542597 86959580 112132090 121743412 145085194 152179265 213050971 224264180 290170388 304358530 362712985 426101942 507798179 608717060 725425970 852203884 1015596358 1065254855 1378309343 1450851940 2031192716 2130509710 2538990895 2756618686 3554587253 4261019420 5077981790 5513237372 6891546715 7109174506 9648165401 10155963580 13783093430 14218349012 17772936265 19296330802 27566186860 35545872530 38592661604 48240827005 67537157807 71091745060 96481654010 135074315614 192963308020 270148631228 337685789035 675371578070 1350743156140