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21432103040 = 2751011312531
BaseRepresentation
bin10011111101011100…
…111111000010000000
32001022122021122022002
4103331130333002000
5322343104244130
613502404203132
71356051604265
oct237534770200
961278248262
1021432103040
1190a8955257
1241a16994a8
1320372b669a
14107459326c
15856852b45
hex4fd73f080

21432103040 has 128 divisors (see below), whose sum is σ = 52158997440. Its totient is φ = 8419840000.

The previous prime is 21432103019. The next prime is 21432103051. The reversal of 21432103040 is 4030123412.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 8466575 + ... + 8469105.

Almost surely, 221432103040 is an apocalyptic number.

21432103040 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 21432103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26079498720).

21432103040 is an abundant number, since it is smaller than the sum of its proper divisors (30726894400).

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

21432103040 is a wasteful number, since it uses less digits than its factorization.

21432103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21432103040 its reverse (4030123412), we get a palindrome (25462226452).

The spelling of 21432103040 in words is "twenty-one billion, four hundred thirty-two million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 131 160 202 262 320 404 505 524 640 655 808 1010 1048 1310 1616 2020 2096 2531 2620 3232 4040 4192 5062 5240 6464 8080 8384 10124 10480 12655 12928 13231 16160 16768 20248 20960 25310 26462 32320 40496 41920 50620 52924 64640 66155 80992 83840 101240 105848 132310 161984 202480 211696 255631 264620 323968 331561 404960 423392 511262 529240 663122 809920 846784 1022524 1058480 1278155 1326244 1619840 1657805 1693568 2045048 2116960 2556310 2652488 3315610 4090096 4233920 5112620 5304976 6631220 8180192 8467840 10225240 10609952 13262440 16360384 20450480 21219904 26524880 32720768 33487661 40900960 42439808 53049760 66975322 81801920 106099520 133950644 163603840 167438305 212199040 267901288 334876610 535802576 669753220 1071605152 1339506440 2143210304 2679012880 4286420608 5358025760 10716051520 21432103040