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314243400030 = 23577361733223
BaseRepresentation
bin1001001001010100101…
…11011100000101011110
31010001010011101201101120
410210222113130011132
520122032302300110
6400210022351410
731463146554060
oct4445227340536
91101104351346
10314243400030
111112a723058a
1250a9b58b566
132382c9ac071
14112d0a97730
158292d70870
hex492a5dc15e

314243400030 has 128 divisors (see below), whose sum is σ = 875174381568. Its totient is φ = 70726182912.

The previous prime is 314243400013. The next prime is 314243400131. The reversal of 314243400030 is 30004342413.

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 63 ways as a sum of consecutive naturals, for example, 9441999 + ... + 9475221.

It is an arithmetic number, because the mean of its divisors is an integer number (6837299856).

Almost surely, 2314243400030 is an apocalyptic number.

314243400030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314243400030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437587190784).

314243400030 is an abundant number, since it is smaller than the sum of its proper divisors (560930981538).

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

314243400030 is a wasteful number, since it uses less digits than its factorization.

314243400030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33930.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 314243400030 its reverse (30004342413), we get a palindrome (344247742443).

The spelling of 314243400030 in words is "three hundred fourteen billion, two hundred forty-three million, four hundred thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 73 105 146 210 219 365 438 511 617 730 1022 1095 1234 1533 1851 2190 2555 3066 3085 3702 4319 5110 6170 7665 8638 9255 12957 15330 18510 21595 25914 33223 43190 45041 64785 66446 90082 99669 129570 135123 166115 199338 225205 232561 270246 315287 332230 450410 465122 498345 630574 675615 697683 945861 996690 1162805 1351230 1395366 1576435 1891722 2325610 2425279 3152870 3488415 4729305 4850558 6976830 7275837 9458610 12126395 14551674 16976953 20498591 24252790 33953906 36379185 40997182 50930859 61495773 72758370 84884765 101861718 102492955 122991546 143490137 169769530 204985910 254654295 286980274 307478865 430470411 509308590 614957730 717450685 860940822 1434901370 1496397143 2152352055 2992794286 4304704110 4489191429 7481985715 8978382858 10474780001 14963971430 20949560002 22445957145 31424340003 44891914290 52373900005 62848680006 104747800010 157121700015 314243400030