Search a number
-
+
2134731837720 = 2335292512443939
BaseRepresentation
bin11111000100000111111…
…011101101000100011000
321120002010010120100122210
4133010013323231010120
5234433412322301340
64312403211515120
7310141434141456
oct37040773550430
97502103510583
102134731837720
117533755196a9
122a5885458aa0
131263c5866281
14754705739d6
153a7e1477180
hex1f107eed118

2134731837720 has 128 divisors (see below), whose sum is σ = 6651427104000. Its totient is φ = 547442112000.

The previous prime is 2134731837713. The next prime is 2134731837739. The reversal of 2134731837720 is 277381374312.

It is a super-3 number, since 3×21347318377203 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2134731837720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348490 + ... + 2095449.

It is an arithmetic number, because the mean of its divisors is an integer number (51964274250).

Almost surely, 22134731837720 is an apocalyptic number.

2134731837720 is a gapful number since it is divisible by the number (20) 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 2134731837720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325713552000).

2134731837720 is an abundant number, since it is smaller than the sum of its proper divisors (4516695266280).

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

2134731837720 is a wasteful number, since it uses less digits than its factorization.

2134731837720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444233 (or 2444229 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The spelling of 2134731837720 in words is "two trillion, one hundred thirty-four billion, seven hundred thirty-one million, eight hundred thirty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 251 290 348 435 502 580 696 753 870 1004 1160 1255 1506 1740 2008 2510 3012 3480 3765 5020 6024 7279 7530 10040 14558 15060 21837 29116 30120 36395 43674 58232 72790 87348 109185 145580 174696 218370 291160 436740 873480 2443939 4887878 7331817 9775756 12219695 14663634 19551512 24439390 29327268 36659085 48878780 58654536 70874231 73318170 97757560 141748462 146636340 212622693 283496924 293272680 354371155 425245386 566993848 613428689 708742310 850490772 1063113465 1226857378 1417484620 1700981544 1840286067 2126226930 2453714756 2834969240 3067143445 3680572134 4252453860 4907429512 6134286890 7361144268 8504907720 9201430335 12268573780 14722288536 17789431981 18402860670 24537147560 35578863962 36805721340 53368295943 71157727924 73611442680 88947159905 106736591886 142315455848 177894319810 213473183772 266841479715 355788639620 426946367544 533682959430 711577279240 1067365918860 2134731837720