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144654706420 = 22573743897297
BaseRepresentation
bin1000011010111000010…
…1111010011011110100
3111211101020100110120021
42012232011322123310
54332223101101140
6150241540214524
713310451500650
oct2065605723364
9454336313507
10144654706420
11563908a0a54
122405069a444
1310844024953
1470038c9a60
153b696bdb4a
hex21ae17a6f4

144654706420 has 192 divisors, whose sum is σ = 368996221440. Its totient is φ = 46597275648.

The previous prime is 144654706363. The next prime is 144654706447. The reversal of 144654706420 is 24607456441.

It is a Harshad number since it is a multiple of its sum of digits (43).

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, 19820212 + ... + 19827508.

It is an arithmetic number, because the mean of its divisors is an integer number (1921855320).

Almost surely, 2144654706420 is an apocalyptic number.

144654706420 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 144654706420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184498110720).

144654706420 is an abundant number, since it is smaller than the sum of its proper divisors (224341515020).

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

144654706420 is a wasteful number, since it uses less digits than its factorization.

144654706420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7482 (or 7480 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 43.

The spelling of 144654706420 in words is "one hundred forty-four billion, six hundred fifty-four million, seven hundred six thousand, four hundred twenty".