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2254400131440 = 24359393333881
BaseRepresentation
bin100000110011100100101…
…110000001000101110000
321222112000000120112200110
4200303210232001011300
5243414002413201230
64443353534421320
7321606064641252
oct40634456010560
97875000515613
102254400131440
1179a0a41139a6
12304b02061840
13134787101022
147b183811cd2
153d9972594b0
hex20ce4b81170

2254400131440 has 40 divisors (see below), whose sum is σ = 6988640408208. Its totient is φ = 601173368320.

The previous prime is 2254400131381. The next prime is 2254400131453. The reversal of 2254400131440 is 441310044522.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 2254400131398 and 2254400131407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4696666701 + ... + 4696667180.

Almost surely, 22254400131440 is an apocalyptic number.

2254400131440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2254400131440 is an abundant number, since it is smaller than the sum of its proper divisors (4734240276768).

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

2254400131440 is a wasteful number, since it uses less digits than its factorization.

2254400131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9393333897 (or 9393333891 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 2254400131440 its reverse (441310044522), we get a palindrome (2695710175962).

The spelling of 2254400131440 in words is "two trillion, two hundred fifty-four billion, four hundred million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 9393333881 18786667762 28180001643 37573335524 46966669405 56360003286 75146671048 93933338810 112720006572 140900008215 150293342096 187866677620 225440013144 281800016430 375733355240 450880026288 563600032860 751466710480 1127200065720 2254400131440