Search a number
-
+
2424314553342 = 231185350238573
BaseRepresentation
bin100011010001110100011…
…010000110001111111110
322120202120122112111201120
4203101310122012033332
5304204444011201332
65053414214251410
7340102526461503
oct43216432061776
98522518474646
102424314553342
118551673aaa70
12331a22056b66
131477c53c3a86
14854a1d6d4aa
15430de2ed32c
hex234746863fe

2424314553342 has 64 divisors (see below), whose sum is σ = 5297286629376. Its totient is φ = 733547871360.

The previous prime is 2424314553313. The next prime is 2424314553377. The reversal of 2424314553342 is 2433554134242.

It is a junction number, because it is equal to n+sod(n) for n = 2424314553294 and 2424314553303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282780568 + ... + 282789140.

It is an arithmetic number, because the mean of its divisors is an integer number (82770103584).

Almost surely, 22424314553342 is an apocalyptic number.

2424314553342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2424314553342 is an abundant number, since it is smaller than the sum of its proper divisors (2872972076034).

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

2424314553342 is a wasteful number, since it uses less digits than its factorization.

2424314553342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14465.

The product of its digits is 1382400, while the sum is 42.

Adding to 2424314553342 its reverse (2433554134242), we get a palindrome (4857868687584).

The spelling of 2424314553342 in words is "two trillion, four hundred twenty-four billion, three hundred fourteen million, five hundred fifty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 853 1706 2559 5023 5118 8573 9383 10046 15069 17146 18766 25719 28149 30138 51438 55253 56298 94303 110506 165759 188606 282909 331518 565818 4284619 7312769 8569238 12853857 14625538 21938307 25707714 43062179 43876614 47130809 80440459 86124358 94261618 129186537 141392427 160880918 241321377 258373074 282784854 473683969 482642754 947367938 1421051907 2842103814 36732038687 73464077374 110196116061 220392232122 404052425557 808104851114 1212157276671 2424314553342