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21412402136040 = 23353115231097039
BaseRepresentation
bin1001101111001011101101…
…00111111000001111101000
32210211000011010021002102110
410313211312213320033220
510301310044421323130
6113312415521402320
74336665200054646
oct467456647701750
983730133232373
1021412402136040
116905a48870733
122499a4a1993a0
13bc4247461036
14540519a44196
15271ebbbecab0
hex1379769f83e8

21412402136040 has 128 divisors (see below), whose sum is σ = 64567035187200. Its totient is φ = 5680726053120.

The previous prime is 21412402136029. The next prime is 21412402136051. The reversal of 21412402136040 is 4063120421412.

It is an interprime number because it is at equal distance from previous prime (21412402136029) and next prime (21412402136051).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21412402135989 and 21412402136007.

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, 18969841 + ... + 20066879.

It is an arithmetic number, because the mean of its divisors is an integer number (504429962400).

Almost surely, 221412402136040 is an apocalyptic number.

21412402136040 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 21412402136040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32283517593600).

21412402136040 is an abundant number, since it is smaller than the sum of its proper divisors (43154633051160).

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

21412402136040 is a wasteful number, since it uses less digits than its factorization.

21412402136040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097887 (or 1097883 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 21412402136040 its reverse (4063120421412), we get a palindrome (25475522557452).

The spelling of 21412402136040 in words is "twenty-one trillion, four hundred twelve billion, four hundred two million, one hundred thirty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 311 523 622 933 1046 1244 1555 1569 1866 2092 2488 2615 3110 3138 3732 4184 4665 5230 6220 6276 7464 7845 9330 10460 12440 12552 15690 18660 20920 31380 37320 62760 162653 325306 487959 650612 813265 975918 1097039 1301224 1626530 1951836 2194078 2439795 3253060 3291117 3903672 4388156 4879590 5485195 6506120 6582234 8776312 9759180 10970390 13164468 16455585 19518360 21940780 26328936 32911170 43881560 65822340 131644680 341179129 573751397 682358258 1023537387 1147502794 1364716516 1705895645 1721254191 2047074774 2295005588 2729433032 2868756985 3411791290 3442508382 4094149548 4590011176 5117686935 5737513970 6823582580 6885016764 8188299096 8606270955 10235373870 11475027940 13647165160 13770033528 17212541910 20470747740 22950055880 34425083820 40941495480 68850167640 178436684467 356873368934 535310053401 713746737868 892183422335 1070620106802 1427493475736 1784366844670 2141240213604 2676550267005 3568733689340 4282480427208 5353100534010 7137467378680 10706201068020 21412402136040