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144125411504 = 24293761137623
BaseRepresentation
bin1000011000111010001…
…0110100000010110000
3111210000100101111102212
42012032202310002300
54330132101132004
6150113231431252
713261363533044
oct2061642640260
9453010344385
10144125411504
115613a045938
1223b23385528
131078b4837a9
146d934aa024
153b37eba96e
hex218e8b40b0

144125411504 has 80 divisors (see below), whose sum is σ = 301545193920. Its totient is φ = 66587028480.

The previous prime is 144125411459. The next prime is 144125411519. The reversal of 144125411504 is 405114521441.

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, 978437 + ... + 1116059.

It is an arithmetic number, because the mean of its divisors is an integer number (3769314924).

Almost surely, 2144125411504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144125411504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150772596960).

144125411504 is an abundant number, since it is smaller than the sum of its proper divisors (157419782416).

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

144125411504 is a wasteful number, since it uses less digits than its factorization.

144125411504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137758 (or 137752 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

Adding to 144125411504 its reverse (405114521441), we get a palindrome (549239932945).

The spelling of 144125411504 in words is "one hundred forty-four billion, one hundred twenty-five million, four hundred eleven thousand, five hundred four".

Divisors: 1 2 4 8 16 29 37 58 61 74 116 122 148 232 244 296 464 488 592 976 1073 1769 2146 2257 3538 4292 4514 7076 8584 9028 14152 17168 18056 28304 36112 65453 130906 137623 261812 275246 523624 550492 1047248 1100984 2201968 3991067 5092051 7982134 8395003 10184102 15964268 16790006 20368204 31928536 33580012 40736408 63857072 67160024 81472816 134320048 147669479 243455087 295338958 310615111 486910174 590677916 621230222 973820348 1181355832 1242460444 1947640696 2362711664 2484920888 3895281392 4969841776 9007838219 18015676438 36031352876 72062705752 144125411504