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144843110377140 = 2235715715711398211
BaseRepresentation
bin100000111011101111101010…
…001001000110011010110100
3200222211212101101212001022210
4200323233222021012122310
5122441102142224032030
61232020001210253420
742336366205203030
oct4073575211063264
9628755341761283
10144843110377140
1142173688834a6a
12142b3694727270
1362a8853a574a6
1427aa6302991c0
1511b2a7d368bb0
hex83bbea2466b4

144843110377140 has 192 divisors, whose sum is σ = 466747416188928. Its totient is φ = 32875160947200.

The previous prime is 144843110377139. The next prime is 144843110377183. The reversal of 144843110377140 is 41773011348441.

144843110377140 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1448431103771402 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144843110377140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102892635 + ... + 104290845.

It is an arithmetic number, because the mean of its divisors is an integer number (2430976125984).

Almost surely, 2144843110377140 is an apocalyptic number.

144843110377140 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 144843110377140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233373708094464).

144843110377140 is an abundant number, since it is smaller than the sum of its proper divisors (321904305811788).

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

144843110377140 is a wasteful number, since it uses less digits than its factorization.

144843110377140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399958 (or 1399956 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 144843110377140 in words is "one hundred forty-four trillion, eight hundred forty-three billion, one hundred ten million, three hundred seventy-seven thousand, one hundred forty".