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2141231424 = 26328373931
BaseRepresentation
bin111111110100000…
…1001100101000000
312112020002211022120
41333220021211000
513341123401144
6552250004240
7104030111133
oct17750114500
95466084276
102141231424
119a973a952
124b9116680
132817c6057
1416454021a
15c7eade19
hex7fa09940

2141231424 has 56 divisors (see below), whose sum is σ = 5668780128. Its totient is φ = 713310720.

The previous prime is 2141231399. The next prime is 2141231431. The reversal of 2141231424 is 4241321412.

It is a super-2 number, since 2×21412314242 = 9169744022250135552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2141231394 and 2141231403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 542739 + ... + 546669.

Almost surely, 22141231424 is an apocalyptic number.

2141231424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2141231424 is an abundant number, since it is smaller than the sum of its proper divisors (3527548704).

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

2141231424 is a wasteful number, since it uses less digits than its factorization.

2141231424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6783 (or 6773 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2141231424 is about 46273.4418862483. The cubic root of 2141231424 is about 1288.9058735420.

Adding to 2141231424 its reverse (4241321412), we get a palindrome (6382552836).

The spelling of 2141231424 in words is "two billion, one hundred forty-one million, two hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 2837 3931 5674 7862 8511 11348 11793 15724 17022 22696 23586 31448 34044 45392 47172 62896 68088 90784 94344 125792 136176 181568 188688 251584 272352 377376 544704 754752 11152247 22304494 33456741 44608988 66913482 89217976 133826964 178435952 267653928 356871904 535307856 713743808 1070615712 2141231424