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21214331251040 = 2554130949104491
BaseRepresentation
bin1001101001011010110001…
…01011011010100101100000
32210010001220012221121012202
410310231120223122211200
510240033422300013130
6113041421303112332
74316453622241634
oct464553053324540
983101805847182
1021214331251040
116839a46a31154
1224675907426a8
13bab66c9ca935
14534ac9c48dc4
1526bc77cd8145
hex134b58ada960

21214331251040 has 96 divisors (see below), whose sum is σ = 51343419002400. Its totient is φ = 8278416691200.

The previous prime is 21214331251021. The next prime is 21214331251129. The reversal of 21214331251040 is 4015213341212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21214331250994 and 21214331251012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202973195 + ... + 203077685.

It is an arithmetic number, because the mean of its divisors is an integer number (534827281275).

Almost surely, 221214331251040 is an apocalyptic number.

21214331251040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21214331251040 is an abundant number, since it is smaller than the sum of its proper divisors (30129087751360).

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

21214331251040 is a wasteful number, since it uses less digits than its factorization.

21214331251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135496 (or 135488 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 21214331251040 its reverse (4015213341212), we get a palindrome (25229544592252).

The spelling of 21214331251040 in words is "twenty-one trillion, two hundred fourteen billion, three hundred thirty-one million, two hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 30949 61898 104491 123796 154745 208982 247592 309490 417964 495184 522455 618980 835928 990368 1044910 1237960 1268909 1671856 2089820 2475920 2537818 3343712 4179640 4284131 4951840 5075636 6344545 8359280 8568262 10151272 12689090 16718560 17136524 20302544 21420655 25378180 34273048 40605088 42841310 50756360 68546096 85682620 101512720 137092192 171365240 203025440 342730480 685460960 3233891959 6467783918 12935567836 16169459795 25871135672 32338919590 51742271344 64677839180 103484542688 129355678360 132589570319 258711356720 265179140638 517422713440 530358281276 662947851595 1060716562552 1325895703190 2121433125104 2651791406380 4242866250208 5303582812760 10607165625520 21214331251040