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3024104431432 = 2372193931103289
BaseRepresentation
bin101100000000011010101…
…010111001111101001000
3101201002202001000021010211
4230000122222321331020
5344021331213301212
610233130541050504
7431325061354300
oct54003252717510
911632661007124
103024104431432
11a66574127897
1240a112556a34
1318c230661a96
14a6520358600
15539e59b29a7
hex2c01aab9f48

3024104431432 has 96 divisors (see below), whose sum is σ = 6944930388000. Its totient is φ = 1227507644160.

The previous prime is 3024104431427. The next prime is 3024104431433. The reversal of 3024104431432 is 2341344014203.

It is a super-2 number, since 2×30241044314322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3024104431394 and 3024104431403.

It is not an unprimeable number, because it can be changed into a prime (3024104431433) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 29226444 + ... + 29329732.

It is an arithmetic number, because the mean of its divisors is an integer number (72343024875).

Almost surely, 23024104431432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3024104431432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472465194000).

3024104431432 is an abundant number, since it is smaller than the sum of its proper divisors (3920825956568).

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

3024104431432 is a wasteful number, since it uses less digits than its factorization.

3024104431432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107259 (or 107248 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 3024104431432 its reverse (2341344014203), we get a palindrome (5365448445635).

The spelling of 3024104431432 in words is "three trillion, twenty-four billion, one hundred four million, four hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 392 532 931 1064 1862 3724 3931 7448 7862 15724 27517 31448 55034 74689 103289 110068 149378 192619 206578 220136 298756 385238 413156 522823 597512 723023 770476 826312 1045646 1446046 1540952 1962491 2091292 2892092 3659761 3924982 4182584 5061161 5784184 7319522 7849964 10122322 13737437 14639044 15699928 20244644 27474874 29278088 40489288 54949748 96162059 109899496 192324118 384648236 406029059 769296472 812058118 1624116236 2842203413 3248232472 5684406826 7714552121 11368813652 15429104242 19895423891 22737627304 30858208484 39790847782 54001864847 61716416968 79581695564 108003729694 159163391128 216007459388 378013053929 432014918776 756026107858 1512052215716 3024104431432