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21214251455140 = 22517534931238747
BaseRepresentation
bin1001101001011010100111…
…11011000001001010100100
32210010001200122210112211001
410310231103323001022210
510240033241333031030
6113041405332523044
74316451633055552
oct464552373011244
983101618715731
1021214251455140
116839a0598a327
122467569a80484
13bab65930c423
14534abd3d6bd2
1526bc70cc4cca
hex134b53ec12a4

21214251455140 has 96 divisors (see below), whose sum is σ = 48070469672064. Its totient is φ = 7834230343680.

The previous prime is 21214251455107. The next prime is 21214251455143. The reversal of 21214251455140 is 4155415241212.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 21214251455140.

It is not an unprimeable number, because it can be changed into a prime (21214251455143) 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, 88737247 + ... + 88975993.

It is an arithmetic number, because the mean of its divisors is an integer number (500734059084).

Almost surely, 221214251455140 is an apocalyptic number.

21214251455140 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 21214251455140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24035234836032).

21214251455140 is an abundant number, since it is smaller than the sum of its proper divisors (26856218216924).

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

21214251455140 is a wasteful number, since it uses less digits than its factorization.

21214251455140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243757 (or 243755 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 37.

Adding to 21214251455140 its reverse (4155415241212), we get a palindrome (25369666696352).

The spelling of 21214251455140 in words is "twenty-one trillion, two hundred fourteen billion, two hundred fifty-one million, four hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 901 1060 1802 3604 4505 4931 9010 9862 18020 19724 24655 49310 83827 98620 167654 238747 261343 335308 419135 477494 522686 838270 954988 1045372 1193735 1306715 1676540 2387470 2613430 4058699 4442831 4774940 5226860 8117398 8885662 12653591 16234796 17771324 20293495 22214155 25307182 40586990 44428310 50614364 63267955 81173980 88856620 126535910 215111047 253071820 430222094 860444188 1075555235 1177261457 2151110470 2354522914 4302220940 4709045828 5886307285 11772614570 20013444769 23545229140 40026889538 62394857221 80053779076 100067223845 124789714442 200134447690 249579428884 311974286105 400268895380 623948572210 1060712572757 1247897144420 2121425145514 4242850291028 5303562863785 10607125727570 21214251455140