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2414232201144 = 2334312267102953
BaseRepresentation
bin100011001000011011011…
…100111110011110111000
322112210112222210221121210
4203020123130332132320
5304023321420414034
65045025530403120
7336264632055621
oct43103334763670
98483488727553
102414232201144
11850963158595
1232ba895904a0
131468796316ba
1484bc6cd0a48
1542bee0c48e9
hex2321b73e7b8

2414232201144 has 64 divisors (see below), whose sum is σ = 6052311498240. Its totient is φ = 802514958080.

The previous prime is 2414232201137. The next prime is 2414232201149. The reversal of 2414232201144 is 4411022324142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414232201149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23398372 + ... + 23501324.

It is an arithmetic number, because the mean of its divisors is an integer number (94567367160).

Almost surely, 22414232201144 is an apocalyptic number.

2414232201144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2414232201144 is an abundant number, since it is smaller than the sum of its proper divisors (3638079297096).

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

2414232201144 is a wasteful number, since it uses less digits than its factorization.

2414232201144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105660 (or 105656 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 2414232201144 its reverse (4411022324142), we get a palindrome (6825254525286).

The spelling of 2414232201144 in words is "two trillion, four hundred fourteen billion, two hundred thirty-two million, two hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 431 862 1293 1724 2267 2586 3448 4534 5172 6801 9068 10344 13602 18136 27204 54408 102953 205906 308859 411812 617718 823624 977077 1235436 1954154 2470872 2931231 3908308 5862462 7816616 11724924 23449848 44372743 88745486 133118229 177490972 233394451 266236458 354981944 466788902 532472916 700183353 933577804 1064945832 1400366706 1867155608 2800733412 5601466824 100593008381 201186016762 301779025143 402372033524 603558050286 804744067048 1207116100572 2414232201144