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144020654252514 = 232131704136117181
BaseRepresentation
bin100000101111110001101011…
…111011111110000111100010
3200212221020111000112222111200
4200233301223323332013202
5122334113244442040024
61230150101501222030
742223102033403634
oct4057615373760742
9625836430488450
10144020654252514
11419868a8795496
12141a0201861916
1362491215c6510
14277c8cb77ca54
15119b49389a2c9
hex82fc6befe1e2

144020654252514 has 48 divisors (see below), whose sum is σ = 336067922541624. Its totient is φ = 44311445798400.

The previous prime is 144020654252513. The next prime is 144020654252533. The reversal of 144020654252514 is 415252456020441.

144020654252514 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 2 + 0 + 6 + 542 + 52 + 51 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 116715504215025 + 27305150037489 = 10803495^2 + 5225433^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 144020654252514.

It is not an unprimeable number, because it can be changed into a prime (144020654252513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14070997 + ... + 22046184.

Almost surely, 2144020654252514 is an apocalyptic number.

144020654252514 is an abundant number, since it is smaller than the sum of its proper divisors (192047268289110).

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

144020654252514 is a wasteful number, since it uses less digits than its factorization.

144020654252514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36134243 (or 36134240 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 144020654252514 in words is "one hundred forty-four trillion, twenty billion, six hundred fifty-four million, two hundred fifty-two thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 17041 34082 51123 102246 153369 221533 306738 443066 664599 1329198 1993797 3987594 36117181 72234362 108351543 216703086 325054629 469523353 650109258 939046706 1408570059 2817140118 4225710177 8451420354 615472881421 1230945762842 1846418644263 3692837288526 5539255932789 8001147458473 11078511865578 16002294916946 24003442375419 48006884750838 72010327126257 144020654252514