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1361841832530 = 234517187152859
BaseRepresentation
bin10011110100010100000…
…110010100001001010010
311211012011002200001020000
4103310110012110021102
5134303023002120110
62521342124430430
7200250465403254
oct23642406241122
94735132601200
101361841832530
114856102362a3
1219bb260a8416
139b56230035a
1449cb08c3cd4
15256581e61c0
hex13d14194252

1361841832530 has 160 divisors (see below), whose sum is σ = 3879389479680. Its totient is φ = 341606453760.

The previous prime is 1361841832517. The next prime is 1361841832531. The reversal of 1361841832530 is 352381481631.

It is a happy number.

1361841832530 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 84 + 1 + 8 + 32 + 530 = 666.

It is a super-2 number, since 2×13618418325302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1361841832531) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25737241 + ... + 25790099.

It is an arithmetic number, because the mean of its divisors is an integer number (24246184248).

Almost surely, 21361841832530 is an apocalyptic number.

1361841832530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361841832530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939694739840).

1361841832530 is an abundant number, since it is smaller than the sum of its proper divisors (2517547647150).

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

1361841832530 is a wasteful number, since it uses less digits than its factorization.

1361841832530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54766 (or 54757 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1361841832530 in words is "one trillion, three hundred sixty-one billion, eight hundred forty-one million, eight hundred thirty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 1871 2295 2754 3742 4590 5613 6885 9355 11226 13770 16839 18710 28065 31807 33678 50517 52859 56130 63614 84195 95421 101034 105718 151551 158577 159035 168390 190842 252585 264295 286263 303102 317154 318070 475731 477105 505170 528590 572526 757755 792885 858789 898603 951462 954210 1427193 1431315 1515510 1585770 1717578 1797206 2378655 2576367 2695809 2854386 2862630 4281579 4293945 4493015 4757310 5152734 5391618 7135965 8087427 8563158 8587890 8986030 12881835 13479045 14271930 16174854 21407895 24262281 25763670 26958090 40437135 42815790 48524562 72786843 80874270 98899189 121311405 145573686 197798378 242622810 296697567 363934215 494495945 593395134 727868430 890092701 988991890 1483487835 1681286213 1780185402 2670278103 2966975670 3362572426 4450463505 5043858639 5340556206 8010834309 8406431065 8900927010 10087717278 13351390515 15131575917 16021668618 16812862130 25219293195 26702781030 30263151834 40054171545 45394727751 50438586390 75657879585 80108343090 90789455502 136184183253 151315759170 226973638755 272368366506 453947277510 680920916265 1361841832530