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1382611123640 = 235672294315227
BaseRepresentation
bin10100000111101010000…
…010110111110110111000
311220011202112202100111002
4110013222002313312320
5140123041421424030
62535055054424132
7201614251433345
oct24075202676670
94804675670432
101382611123640
114933a8a3109a
121a3b61802048
13a04c2198316
144acc101d7cc
1525e71770245
hex141ea0b7db8

1382611123640 has 128 divisors (see below), whose sum is σ = 3179058969600. Its totient is φ = 541049034240.

The previous prime is 1382611123549. The next prime is 1382611123643. The reversal of 1382611123640 is 463211162831.

It is a super-2 number, since 2×13826111236402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1382611123594 and 1382611123603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382611123643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264510707 + ... + 264515933.

It is an arithmetic number, because the mean of its divisors is an integer number (24836398200).

Almost surely, 21382611123640 is an apocalyptic number.

1382611123640 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 1382611123640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589529484800).

1382611123640 is an abundant number, since it is smaller than the sum of its proper divisors (1796447845960).

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

1382611123640 is a wasteful number, since it uses less digits than its factorization.

1382611123640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5965 (or 5961 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 1382611123640 in words is "one trillion, three hundred eighty-two billion, six hundred eleven million, one hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 229 268 335 431 458 536 670 862 916 1145 1340 1724 1832 2155 2290 2680 3448 4310 4580 5227 8620 9160 10454 15343 17240 20908 26135 28877 30686 41816 52270 57754 61372 76715 98699 104540 115508 122744 144385 153430 197398 209080 231016 288770 306860 350209 394796 493495 577540 613720 700418 789592 986990 1155080 1196983 1400836 1751045 1973980 2252837 2393966 2801672 3502090 3947960 4505674 4787932 5984915 6612833 7004180 9011348 9575864 11264185 11969830 13225666 14008360 18022696 22528370 23939660 26451332 33064165 45056740 47879320 52902664 66128330 80197861 90113480 132256660 150940079 160395722 264513320 301880158 320791444 400989305 515899673 603760316 641582888 754700395 801978610 1031799346 1207520632 1509400790 1603957220 2063598692 2579498365 3018801580 3207914440 4127197384 5158996730 6037603160 10317993460 20635986920 34565278091 69130556182 138261112364 172826390455 276522224728 345652780910 691305561820 1382611123640