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5144414144415 = 3571379145332833
BaseRepresentation
bin100101011011100011011…
…1110100100011110011111
3200012210122001210202221120
41022313012332210132133
51133241230010110130
614535151120502023
71040446243510140
oct112670676443637
920183561722846
105144414144415
111703808740737
126b1031a7a913
132b41682cc320
1413adc3331ac7
158dc40c22910
hex4adc6fa479f

5144414144415 has 128 divisors (see below), whose sum is σ = 10266146365440. Its totient is φ = 2141810491392.

The previous prime is 5144414144383. The next prime is 5144414144483.

5144414144415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5144414144415 - 25 = 5144414144383 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 156667839 + ... + 156700671.

It is an arithmetic number, because the mean of its divisors is an integer number (80204268480).

Almost surely, 25144414144415 is an apocalyptic number.

5144414144415 is a deficient number, since it is larger than the sum of its proper divisors (5121732221025).

5144414144415 is a wasteful number, since it uses less digits than its factorization.

5144414144415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34393.

The product of its digits is 409600, while the sum is 42.

The spelling of 5144414144415 in words is "five trillion, one hundred forty-four billion, four hundred fourteen million, one hundred forty-four thousand, four hundred fifteen".

Divisors: 1 3 5 7 13 15 21 35 39 65 79 91 105 195 237 273 395 455 553 1027 1185 1365 1453 1659 2765 3081 4359 5135 7189 7265 8295 10171 15405 18889 21567 21795 30513 32833 35945 50855 56667 94445 98499 107835 114787 132223 152565 164165 229831 283335 344361 396669 426829 492495 573935 661115 689493 803509 1149155 1280487 1492231 1721805 1983345 2134145 2410527 2593807 2987803 3447465 4017545 4476693 6402435 7461155 7781421 8963409 10445617 12052635 12969035 14939015 18156649 22383465 31336851 33719491 38907105 44817045 47706349 52228085 54469947 90783245 101158473 143119047 156684255 168597455 236036437 238531745 272349735 333944443 505792365 620182537 708109311 715595235 1001833329 1180182185 1669722215 1860547611 3100912685 3540546555 3768801571 4341277759 5009166645 9302738055 11306404713 13023833277 18844007855 21706388795 26381610997 48994420423 56532023565 65119166385 79144832991 131908054985 146983261269 244972102115 342960942961 395724164955 734916306345 1028882828883 1714804714805 5144414144415