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21427744045000 = 235412293487021
BaseRepresentation
bin1001101111101000010010…
…00100100111011111001000
32210212110202022202211000211
410313310021010213133020
510302033004433420000
6113323434132010504
74341050321122336
oct467641104473710
983773668684024
1021427744045000
116911500990a37
1224a0a10160a34
13bc5820a8c587
1454117342ab56
152725b8a4d7ba
hex137d091277c8

21427744045000 has 80 divisors (see below), whose sum is σ = 50246069157900. Its totient is φ = 8564121120000.

The previous prime is 21427744044997. The next prime is 21427744045063. The reversal of 21427744045000 is 54044772412.

It can be written as a sum of positive squares in 10 ways, for example, as 346918644004 + 21080825400996 = 588998^2 + 4591386^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4401490 + ... + 7888510.

Almost surely, 221427744045000 is an apocalyptic number.

21427744045000 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 21427744045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25123034578950).

21427744045000 is an abundant number, since it is smaller than the sum of its proper divisors (28818325112900).

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

21427744045000 is a wasteful number, since it uses less digits than its factorization.

21427744045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488276 (or 3488257 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 40.

The spelling of 21427744045000 in words is "twenty-one trillion, four hundred twenty-seven billion, seven hundred forty-four million, forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1229 1250 2458 2500 4916 5000 6145 9832 12290 24580 30725 49160 61450 122900 153625 245800 307250 614500 768125 1229000 1536250 3072500 3487021 6145000 6974042 13948084 17435105 27896168 34870210 69740420 87175525 139480840 174351050 348702100 435877625 697404200 871755250 1743510500 2179388125 3487021000 4285548809 4358776250 8571097618 8717552500 17142195236 17435105000 21427744045 34284390472 42855488090 85710976180 107138720225 171421952360 214277440450 428554880900 535693601125 857109761800 1071387202250 2142774404500 2678468005625 4285548809000 5356936011250 10713872022500 21427744045000