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144278883840 = 2935713434801
BaseRepresentation
bin1000011001011110110…
…0010000111000000000
3111210102001011200220110
42012113230100320000
54330440343240330
6150140353111320
713265236164210
oct2062754207000
9453361150813
10144278883840
1156208739983
1223b66858540
13107b41ca020
146da9a1a240
153b466d3db0
hex2197b10e00

144278883840 has 640 divisors, whose sum is σ = 581004813312. Its totient is φ = 29727129600.

The previous prime is 144278883761. The next prime is 144278883851. The reversal of 144278883840 is 48388872441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

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, 30049440 + ... + 30054240.

Almost surely, 2144278883840 is an apocalyptic number.

144278883840 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 144278883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290502406656).

144278883840 is an abundant number, since it is smaller than the sum of its proper divisors (436725929472).

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

144278883840 is a wasteful number, since it uses less digits than its factorization.

144278883840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4890 (or 4874 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 57.

The spelling of 144278883840 in words is "one hundred forty-four billion, two hundred seventy-eight million, eight hundred eighty-three thousand, eight hundred forty".