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140819005440 = 215385131
BaseRepresentation
bin1000001100100101110…
…1111000000000000000
3111110110220210200000000
42003021131320000000
54301344131133230
6144405200000000
713113424540161
oct2031135700000
9443426720000
10140819005440
11547a2726043
1223360000000
131038246a6b9
146b5c303768
1539e2a9eb60
hex20c9778000

140819005440 has 576 divisors, whose sum is σ = 510784508520. Its totient is φ = 37265080320.

The previous prime is 140819005433. The next prime is 140819005441. The reversal of 140819005440 is 44500918041.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1408190054402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 140819005395 and 140819005404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140819005441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1074954175 + ... + 1074954305.

Almost surely, 2140819005440 is an apocalyptic number.

140819005440 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 140819005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255392254260).

140819005440 is an abundant number, since it is smaller than the sum of its proper divisors (369965503080).

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

140819005440 is an frugal number, since it uses more digits than its factorization.

140819005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 140819005440 in words is "one hundred forty billion, eight hundred nineteen million, five thousand, four hundred forty".