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1142513410120 = 235472423250813
BaseRepresentation
bin10000101000000011000…
…110110010000001001000
311001020000201112202201221
4100220003012302001020
5122204331413110440
62232510255251424
7145354355515435
oct20500306620110
94036021482657
101142513410120
114005a0042285
12165515519b74
138397a7a3a54
143d4257b6b8c
151eabce61d4a
hex10a031b2048

1142513410120 has 64 divisors (see below), whose sum is σ = 2626443947520. Its totient is φ = 447095464704.

The previous prime is 1142513410069. The next prime is 1142513410123. The reversal of 1142513410120 is 210143152411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1142513410123) 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, 4429834 + ... + 4680646.

It is an arithmetic number, because the mean of its divisors is an integer number (41038186680).

Almost surely, 21142513410120 is an apocalyptic number.

1142513410120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142513410120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313221973760).

1142513410120 is an abundant number, since it is smaller than the sum of its proper divisors (1483930537400).

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

1142513410120 is a wasteful number, since it uses less digits than its factorization.

1142513410120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253294 (or 253290 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 1142513410120 its reverse (210143152411), we get a palindrome (1352656562531).

The spelling of 1142513410120 in words is "one trillion, one hundred forty-two billion, five hundred thirteen million, four hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 2423 4846 9692 12115 19384 24230 48460 96920 113881 227762 250813 455524 501626 569405 911048 1003252 1138810 1254065 2006504 2277620 2508130 4555240 5016260 10032520 11788211 23576422 47152844 58941055 94305688 117882110 235764220 471528440 607719899 1215439798 2430879596 3038599495 4861759192 6077198990 12154397980 24308795960 28562835253 57125670506 114251341012 142814176265 228502682024 285628352530 571256705060 1142513410120