Search a number
-
+
314250502040430 = 23541307832209163
BaseRepresentation
bin100011101110011110010010…
…1100010110110101101101110
31112012200001110210122200201220
41013130330211202312231232
5312142140012010243210
63032204404311244210
7123122564251303134
oct10734744542665556
91465601423580656
10314250502040430
11911479869a97aa
122b2b3a29379666
1310646906435697
145785b3c23d754
15264e59b693c70
hex11dcf258b6b6e

314250502040430 has 64 divisors (see below), whose sum is σ = 775112957676288. Its totient is φ = 81489921143040.

The previous prime is 314250502040351. The next prime is 314250502040437. The reversal of 314250502040430 is 34040205052413.

It is a junction number, because it is equal to n+sod(n) for n = 314250502040391 and 314250502040400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314250502040437) 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, 415726972 + ... + 416482191.

It is an arithmetic number, because the mean of its divisors is an integer number (12111139963692).

Almost surely, 2314250502040430 is an apocalyptic number.

314250502040430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

314250502040430 is an abundant number, since it is smaller than the sum of its proper divisors (460862455635858).

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

314250502040430 is a wasteful number, since it uses less digits than its factorization.

314250502040430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832209521.

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 314250502040430 its reverse (34040205052413), we get a palindrome (348290707092843).

The spelling of 314250502040430 in words is "three hundred fourteen trillion, two hundred fifty billion, five hundred two million, forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 307 410 614 615 921 1230 1535 1842 3070 4605 9210 12587 25174 37761 62935 75522 125870 188805 377610 832209163 1664418326 2496627489 4161045815 4993254978 8322091630 12483137445 24966274890 34120575683 68241151366 102361727049 170602878415 204723454098 255488213041 341205756830 510976426082 511808635245 766464639123 1023617270490 1277441065205 1532929278246 2554882130410 3832323195615 7664646391230 10475016734681 20950033469362 31425050204043 52375083673405 62850100408086 104750167346810 157125251020215 314250502040430