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144042042214104 = 23317487724936799
BaseRepresentation
bin100000110000000101100110…
…110000100100011011011000
3200220000021200120210000010020
4200300011212300210123120
5122334441100301322404
61230204000051350440
742224460041154036
oct4060054660443330
9626007616700106
10144042042214104
1141994983730601
12141a43905b2420
13624b14c6c62a8
14277d95a121556
15119bce63cded9
hex830166c246d8

144042042214104 has 64 divisors (see below), whose sum is σ = 382070691072000. Its totient is φ = 45096868329984.

The previous prime is 144042042214079. The next prime is 144042042214111. The reversal of 144042042214104 is 401412240240441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362269704 + ... + 362667095.

It is an arithmetic number, because the mean of its divisors is an integer number (5969854548000).

Almost surely, 2144042042214104 is an apocalyptic number.

It is an amenable number.

144042042214104 is an abundant number, since it is smaller than the sum of its proper divisors (238028648857896).

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

144042042214104 is a wasteful number, since it uses less digits than its factorization.

144042042214104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724937312 (or 724937308 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 33.

Adding to 144042042214104 its reverse (401412240240441), we get a palindrome (545454282454545).

The spelling of 144042042214104 in words is "one hundred forty-four trillion, forty-two billion, forty-two million, two hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 487 974 1461 1948 2922 3896 5844 8279 11688 16558 24837 33116 49674 66232 99348 198696 724936799 1449873598 2174810397 2899747196 4349620794 5799494392 8699241588 12323925583 17398483176 24647851166 36971776749 49295702332 73943553498 98591404664 147887106996 295774213992 353044221113 706088442226 1059132663339 1412176884452 2118265326678 2824353768904 4236530653356 6001751758921 8473061306712 12003503517842 18005255276763 24007007035684 36010510553526 48014014071368 72021021107052 144042042214104