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21214436202456 = 23371376911333901
BaseRepresentation
bin1001101001011010111101…
…11011110001011111011000
32210010002011112102200111020
410310231132323301133120
510240034131131434311
6113041435532402440
74316456335305510
oct464553673613730
983102145380436
1021214436202456
116839aa01a4762
1224675bb916420
13bab688686073
14534ad9b68840
1526bc82119c06
hex134b5eef17d8

21214436202456 has 128 divisors (see below), whose sum is σ = 61143506588160. Its totient is φ = 6008312448000.

The previous prime is 21214436202383. The next prime is 21214436202481. The reversal of 21214436202456 is 65420263441212.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 15237106 + ... + 16571006.

It is an arithmetic number, because the mean of its divisors is an integer number (477683645220).

Almost surely, 221214436202456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21214436202456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30571753294080).

21214436202456 is an abundant number, since it is smaller than the sum of its proper divisors (39929070385704).

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

21214436202456 is a wasteful number, since it uses less digits than its factorization.

21214436202456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334745 (or 1334741 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

Adding to 21214436202456 its reverse (65420263441212), we get a palindrome (86634699643668).

The spelling of 21214436202456 in words is "twenty-one trillion, two hundred fourteen billion, four hundred thirty-six million, two hundred two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 137 168 274 411 548 691 822 959 1096 1382 1644 1918 2073 2764 2877 3288 3836 4146 4837 5528 5754 7672 8292 9674 11508 14511 16584 19348 23016 29022 38696 58044 94667 116088 189334 284001 378668 568002 662669 757336 1136004 1325338 1333901 1988007 2272008 2650676 2667802 3976014 4001703 5301352 5335604 7952028 8003406 9337307 10671208 15904056 16006812 18674614 28011921 32013624 37349228 56023842 74698456 112047684 182744437 224095368 365488874 548233311 730977748 921725591 1096466622 1279211059 1461955496 1843451182 2192933244 2558422118 2765176773 3686902364 3837633177 4385866488 5116844236 5530353546 6452079137 7373804728 7675266354 10233688472 11060707092 12904158274 15350532708 19356237411 22121414184 25808316548 30701065416 38712474822 51616633096 77424949644 126276405967 154849899288 252552811934 378829217901 505105623868 757658435802 883934841769 1010211247736 1515316871604 1767869683538 2651804525307 3030633743208 3535739367076 5303609050614 7071478734152 10607218101228 21214436202456