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144921356494272 = 2635192131230149
BaseRepresentation
bin100000111100111000100001…
…111110010110010111000000
3201000010100100111201122100000
4200330320201332112113000
5122443342414230304042
61232115541352200000
742345136212213351
oct4074704176262700
9630110314648300
10144921356494272
11421a3890715976
1214306891099000
1362b30436c8197
1427b0334123d28
1511b4b0c88d74c
hex83ce21f965c0

144921356494272 has 336 divisors, whose sum is σ = 453662915888000. Its totient is φ = 45742964474880.

The previous prime is 144921356494259. The next prime is 144921356494331. The reversal of 144921356494272 is 272494653129441.

144921356494272 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 2 + 1 + 356 + 4 + 9 + 4 + 272 = 666.

It is a Smith number, since the sum of its digits (63) 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 47 ways as a sum of consecutive naturals, for example, 629569854 + ... + 629800002.

Almost surely, 2144921356494272 is an apocalyptic number.

144921356494272 is a gapful number since it is divisible by the number (12) 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 144921356494272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226831457944000).

144921356494272 is an abundant number, since it is smaller than the sum of its proper divisors (308741559393728).

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

144921356494272 is a wasteful number, since it uses less digits than its factorization.

144921356494272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232326 (or 232304 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 144921356494272 in words is "one hundred forty-four trillion, nine hundred twenty-one billion, three hundred fifty-six million, four hundred ninety-four thousand, two hundred seventy-two".