Search a number
-
+
315325330140 = 223537663721401
BaseRepresentation
bin1001001011010101101…
…10101011001011011100
31010010220120020110111010
410211222312223023130
520131241241031030
6400505232055220
731532025040212
oct4455266531334
91103816213433
10315325330140
11111801a236a7
1251141994510
1323972ba3cb2
1411394650cb2
158307d376b0
hex496adab2dc

315325330140 has 96 divisors (see below), whose sum is σ = 906952382784. Its totient is φ = 81797990400.

The previous prime is 315325330123. The next prime is 315325330147. The reversal of 315325330140 is 41033523513.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 315325330098 and 315325330107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315325330147) 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, 14723440 + ... + 14744840.

It is an arithmetic number, because the mean of its divisors is an integer number (9447420654).

Almost surely, 2315325330140 is an apocalyptic number.

315325330140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315325330140 is an abundant number, since it is smaller than the sum of its proper divisors (591627052644).

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

315325330140 is a wasteful number, since it uses less digits than its factorization.

315325330140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28087 (or 28085 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 315325330140 its reverse (41033523513), we get a palindrome (356358853653).

The spelling of 315325330140 in words is "three hundred fifteen billion, three hundred twenty-five million, three hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 6637 13274 19911 21401 26548 33185 39822 42802 64203 66370 79644 85604 99555 107005 128406 132740 199110 214010 245569 256812 321015 398220 428020 491138 642030 736707 791837 982276 1227845 1284060 1473414 1583674 2375511 2455690 2946828 3167348 3683535 3959185 4751022 4911380 7367070 7918370 9502044 11877555 14734140 15836740 23755110 47510220 142038437 284076874 426115311 568153748 710192185 852230622 1420384370 1704461244 2130576555 2840768740 4261153110 5255422169 8522306220 10510844338 15766266507 21021688676 26277110845 31532533014 52554221690 63065066028 78831332535 105108443380 157662665070 315325330140