Search a number
-
+
2415415315424 = 256110911352343
BaseRepresentation
bin100011001001100001111…
…110001100101111100000
322112220121110001101022012
4203021201332030233200
5304033232310043144
65045343152532052
7336336146265446
oct43114176145740
98486543041265
102415415315424
1185140aa80891
12330159851028
13146a07793117
1484c9a0a6b96
1542c6cdc6e9e
hex23261f8cbe0

2415415315424 has 48 divisors (see below), whose sum is σ = 4877648123040. Its totient is φ = 1177010818560.

The previous prime is 2415415315403. The next prime is 2415415315427. The reversal of 2415415315424 is 4245135145142.

It is a super-2 number, since 2×24154153154242 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2415415315427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5463404 + ... + 5888939.

It is an arithmetic number, because the mean of its divisors is an integer number (101617669230).

Almost surely, 22415415315424 is an apocalyptic number.

It is an amenable number.

2415415315424 is an abundant number, since it is smaller than the sum of its proper divisors (2462232807616).

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

2415415315424 is a wasteful number, since it uses less digits than its factorization.

2415415315424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11352523 (or 11352515 counting only the distinct ones).

The product of its digits is 384000, while the sum is 41.

The spelling of 2415415315424 in words is "two trillion, four hundred fifteen billion, four hundred fifteen million, three hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 61 109 122 218 244 436 488 872 976 1744 1952 3488 6649 13298 26596 53192 106384 212768 11352343 22704686 45409372 90818744 181637488 363274976 692492923 1237405387 1384985846 2474810774 2769971692 4949621548 5539943384 9899243096 11079886768 19798486192 22159773536 39596972384 75481728607 150963457214 301926914428 603853828856 1207707657712 2415415315424