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144120462272 = 2619283418799
BaseRepresentation
bin1000011000111000111…
…1111011101111000000
3111210000000002001100222
42012032033323233000
54330124314243042
6150112533402212
713261303500563
oct2061617735700
9453000061328
10144120462272
1156137275466
1223b21799368
131078a43cb57
146d9297c4da
153b3783e2d2
hex218e3fbbc0

144120462272 has 56 divisors (see below), whose sum is σ = 302105568000. Its totient is φ = 68026196736.

The previous prime is 144120462263. The next prime is 144120462281. The reversal of 144120462272 is 272264021441.

It is an interprime number because it is at equal distance from previous prime (144120462263) and next prime (144120462281).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134729 + ... + 553527.

Almost surely, 2144120462272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144120462272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151052784000).

144120462272 is an abundant number, since it is smaller than the sum of its proper divisors (157985105728).

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

144120462272 is a wasteful number, since it uses less digits than its factorization.

144120462272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419113 (or 419103 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The spelling of 144120462272 in words is "one hundred forty-four billion, one hundred twenty million, four hundred sixty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 283 304 566 608 1132 1216 2264 4528 5377 9056 10754 18112 21508 43016 86032 172064 344128 418799 837598 1675196 3350392 6700784 7957181 13401568 15914362 26803136 31828724 63657448 118520117 127314896 237040234 254629792 474080468 509259584 948160936 1896321872 2251882223 3792643744 4503764446 7585287488 9007528892 18015057784 36030115568 72060231136 144120462272