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144070738408415 = 57133183111228993
BaseRepresentation
bin100000110000100000010101…
…001011110111001111011111
3200220010000202110201201022202
4200300200111023313033133
5122340423333013032130
61230225103350402115
742226524126612110
oct4060402513671737
9626100673651282
10144070738408415
11419a6069a08075
12141a9a5a96033b
136250a73920120
1427810bd338207
15119c925815145
hex8308152f73df

144070738408415 has 64 divisors (see below), whose sum is σ = 219671921344512. Its totient is φ = 88239659212800.

The previous prime is 144070738408409. The next prime is 144070738408423. The reversal of 144070738408415 is 514804837070441.

It is a happy number.

144070738408415 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144070738408415 - 26 = 144070738408351 is a prime.

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, 116612159 + ... + 117841151.

It is an arithmetic number, because the mean of its divisors is an integer number (3432373771008).

Almost surely, 2144070738408415 is an apocalyptic number.

144070738408415 is a deficient number, since it is larger than the sum of its proper divisors (75601182936097).

144070738408415 is a wasteful number, since it uses less digits than its factorization.

144070738408415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237360.

The product of its (nonzero) digits is 12042240, while the sum is 56.

The spelling of 144070738408415 in words is "one hundred forty-four trillion, seventy billion, seven hundred thirty-eight million, four hundred eight thousand, four hundred fifteen".

Divisors: 1 5 7 13 31 35 65 91 155 217 403 455 1085 2015 2821 8311 14105 41555 58177 108043 257641 290885 540215 756301 1228993 1288205 1803487 3349333 3781505 6144965 8602951 9017435 15976909 16746665 23445331 38098783 43014755 79884545 111838363 117226655 190493915 266691481 495284179 559191815 1333457405 2476420895 3466989253 10214160823 17334946265 51070804115 71499125761 132784090699 316638985513 357495628805 663920453495 929488634893 1583194927565 2216472898591 4116306811669 4647443174465 11082364492955 20581534058345 28814147681683 144070738408415