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4230306030324 = 22311151857247651
BaseRepresentation
bin111101100011110001111…
…000110110001011110100
3112222102011022010020111010
4331203301320312023310
51023302131320432244
612555213055312220
7614425632652503
oct75436170661364
915872138106433
104230306030324
111391076519a20
12583a40b1b670
13248bbaa0c51a
14108a6836c83a
157508ed58eb9
hex3d8f1e362f4

4230306030324 has 96 divisors (see below), whose sum is σ = 10852055165952. Its totient is φ = 1271930400000.

The previous prime is 4230306030323. The next prime is 4230306030439.

4230306030324 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42303060303242 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4230306030291 and 4230306030300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4230306030323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16957899 + ... + 17205549.

It is an arithmetic number, because the mean of its divisors is an integer number (113042241312).

Almost surely, 24230306030324 is an apocalyptic number.

4230306030324 is a gapful number since it is divisible by the number (44) 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 4230306030324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5426027582976).

4230306030324 is an abundant number, since it is smaller than the sum of its proper divisors (6621749135628).

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

4230306030324 is a wasteful number, since it uses less digits than its factorization.

4230306030324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248677 (or 248675 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

The spelling of 4230306030324 in words is "four trillion, two hundred thirty billion, three hundred six million, thirty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 151 302 453 604 857 906 1661 1714 1812 2571 3322 3428 4983 5142 6644 9427 9966 10284 18854 19932 28281 37708 56562 113124 129407 247651 258814 388221 495302 517628 742953 776442 990604 1423477 1485906 1552884 2724161 2846954 2971812 4270431 5448322 5693908 8172483 8540862 10896644 16344966 17081724 32689932 37395301 74790602 112185903 149581204 212236907 224371806 411348311 424473814 448743612 636710721 822696622 848947628 1234044933 1273421442 1645393244 2334605977 2468089866 2546842884 4669211954 4936179732 7003817931 9338423908 14007635862 28015271724 32047772957 64095545914 96143318871 128191091828 192286637742 352525502527 384573275484 705051005054 1057576507581 1410102010108 2115153015162 4230306030324