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21142102432 = 2511304119751
BaseRepresentation
bin10011101100001010…
…101110000110100000
32000120102121002020211
4103230022232012200
5321244334234212
613413524343504
71345630622413
oct235412560640
960512532224
1021142102432
118a6a190530
124120544b94
131cbc1aa0a9
141047c63b7a
1583b16b9a7
hex4ec2ae1a0

21142102432 has 48 divisors (see below), whose sum is σ = 45424701504. Its totient is φ = 9606400000.

The previous prime is 21142102417. The next prime is 21142102439. The reversal of 21142102432 is 23420124112.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (21142102439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1060557 + ... + 1080307.

It is an arithmetic number, because the mean of its divisors is an integer number (946347948).

Almost surely, 221142102432 is an apocalyptic number.

21142102432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21142102432 is an abundant number, since it is smaller than the sum of its proper divisors (24282599072).

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

21142102432 is a wasteful number, since it uses less digits than its factorization.

21142102432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22813 (or 22805 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 21142102432 its reverse (23420124112), we get a palindrome (44562226544).

The spelling of 21142102432 in words is "twenty-one billion, one hundred forty-two million, one hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 3041 6082 12164 19751 24328 33451 39502 48656 66902 79004 97312 133804 158008 217261 267608 316016 434522 535216 632032 869044 1070432 1738088 3476176 6952352 60062791 120125582 240251164 480502328 660690701 961004656 1321381402 1922009312 2642762804 5285525608 10571051216 21142102432