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1042243024144 = 24767509927239
BaseRepresentation
bin11110010101010101000…
…01100111010100010000
310200122012201010101122211
433022222201213110100
5114034003203233034
62114444433041504
7135204516350560
oct17125241472420
93618181111584
101042243024144
1137201601a1a3
12149bb10b6294
137738ac6490a
1438632890da0
151c1a0117d64
hexf2aa867510

1042243024144 has 80 divisors (see below), whose sum is σ = 2342814336000. Its totient is φ = 439906338432.

The previous prime is 1042243024117. The next prime is 1042243024157. The reversal of 1042243024144 is 4414203422401.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38249277 + ... + 38276515.

It is an arithmetic number, because the mean of its divisors is an integer number (29285179200).

Almost surely, 21042243024144 is an apocalyptic number.

1042243024144 is a gapful number since it is divisible by the number (14) 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 1042243024144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171407168000).

1042243024144 is an abundant number, since it is smaller than the sum of its proper divisors (1300571311856).

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

1042243024144 is a wasteful number, since it uses less digits than its factorization.

1042243024144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32420 (or 32414 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 1042243024144 its reverse (4414203422401), we get a palindrome (5456446446545).

The spelling of 1042243024144 in words is "one trillion, forty-two billion, two hundred forty-three million, twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 268 469 536 938 1072 1876 3752 5099 7504 10198 20396 27239 35693 40792 54478 71386 81584 108956 142772 190673 217912 285544 341633 381346 435824 571088 683266 762692 1366532 1525384 1825013 2391431 2733064 3050768 3650026 4782862 5466128 7300052 9565724 12775091 14600104 19131448 25550182 29200208 38262896 51100364 102200728 138891661 204401456 277783322 555566644 972241627 1111133288 1944483254 2222266576 3888966508 7777933016 9305741287 15555866032 18611482574 37222965148 65140189009 74445930296 130280378018 148891860592 260560756036 521121512072 1042243024144