Search a number
-
+
314240370040 = 23547373448121
BaseRepresentation
bin1001001001010100010…
…11111000010101111000
31010001002221200210000201
410210222023320111320
520122031013320130
6400205433411544
731463112034222
oct4445213702570
91101087623021
10314240370040
111112a5551063
1250a9a569bb4
132382c18ab7c
14112d0509412
158292972bca
hex492a2f8578

314240370040 has 64 divisors (see below), whose sum is σ = 724021752960. Its totient is φ = 122691671040.

The previous prime is 314240370007. The next prime is 314240370043. The reversal of 314240370040 is 40073042413.

It is a super-2 number, since 2×3142403700402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314240369990 and 314240370008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314240370043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477180 + ... + 925300.

It is an arithmetic number, because the mean of its divisors is an integer number (11312839890).

Almost surely, 2314240370040 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 314240370040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362010876480).

314240370040 is an abundant number, since it is smaller than the sum of its proper divisors (409781382920).

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

314240370040 is a wasteful number, since it uses less digits than its factorization.

314240370040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448552 (or 448548 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The spelling of 314240370040 in words is "three hundred fourteen billion, two hundred forty million, three hundred seventy thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 373 376 470 746 940 1492 1865 1880 2984 3730 7460 14920 17531 35062 70124 87655 140248 175310 350620 448121 701240 896242 1792484 2240605 3584968 4481210 8962420 17924840 21061687 42123374 84246748 105308435 167149133 168493496 210616870 334298266 421233740 668596532 835745665 842467480 1337193064 1671491330 3342982660 6685965320 7856009251 15712018502 31424037004 39280046255 62848074008 78560092510 157120185020 314240370040