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42023311332024 = 23311510131205491
BaseRepresentation
bin10011000111000010100001…
…00010110101001010111000
312111210101111211011020010010
421203201100202311022320
521002002220200111044
6225213124232021520
711565040554435651
oct1143412042651270
9174711454136103
1042023311332024
1112431a93779710
124868495b318a0
131a5aa20555a09
14a53d20d3a528
154cd1c9505bb9
hex2638508b52b8

42023311332024 has 64 divisors (see below), whose sum is σ = 114631502532480. Its totient is φ = 12731839920000.

The previous prime is 42023311332017. The next prime is 42023311332059.

It is a happy number.

42023311332024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42023311331982 and 42023311332000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14256082 + ... + 16949409.

It is an arithmetic number, because the mean of its divisors is an integer number (1791117227070).

Almost surely, 242023311332024 is an apocalyptic number.

42023311332024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42023311332024 is an abundant number, since it is smaller than the sum of its proper divisors (72608191200456).

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

42023311332024 is a wasteful number, since it uses less digits than its factorization.

42023311332024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31210612 (or 31210608 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 4202331 and 1332024, that added together give a palindrome (5534355).

The spelling of 42023311332024 in words is "forty-two trillion, twenty-three billion, three hundred eleven million, three hundred thirty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 5101 10202 15303 20404 30606 40808 56111 61212 112222 122424 168333 224444 336666 448888 673332 1346664 31205491 62410982 93616473 124821964 187232946 249643928 343260401 374465892 686520802 748931784 1029781203 1373041604 2059562406 2746083208 4119124812 8238249624 159179209591 318358419182 477537628773 636716838364 955075257546 1273433676728 1750971305501 1910150515092 3501942611002 3820301030184 5252913916503 7003885222004 10505827833006 14007770444008 21011655666012 42023311332024