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53142423144135 = 351319139842312251
BaseRepresentation
bin11000001010101001011110…
…10000010000011011000111
320222011100212211200220012020
430011110233100100123013
523431141140311103020
6305005143035054223
714123261533423533
oct1405245720203307
9228140784626166
1053142423144135
1115a29636498a66
125b63435ba1373
132386402b45060
14d1a16d894bc3
15622552bbdc40
hex30552f4106c7

53142423144135 has 128 divisors (see below), whose sum is σ = 97100765798400. Its totient is φ = 24602211648000.

The previous prime is 53142423144073. The next prime is 53142423144149. The reversal of 53142423144135 is 53144132424135.

It is not a de Polignac number, because 53142423144135 - 214 = 53142423127751 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, 4337796760 + ... + 4337809010.

It is an arithmetic number, because the mean of its divisors is an integer number (758599732800).

Almost surely, 253142423144135 is an apocalyptic number.

53142423144135 is a deficient number, since it is larger than the sum of its proper divisors (43958342654265).

53142423144135 is a wasteful number, since it uses less digits than its factorization.

53142423144135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20853.

The product of its digits is 691200, while the sum is 42.

The spelling of 53142423144135 in words is "fifty-three trillion, one hundred forty-two billion, four hundred twenty-three million, one hundred forty-four thousand, one hundred thirty-five".

Divisors: 1 3 5 13 15 19 39 57 65 95 139 195 247 285 417 695 741 1235 1807 2085 2641 3705 5421 7923 8423 9035 12251 13205 25269 27105 34333 36753 39615 42115 61255 102999 109499 126345 159263 160037 171665 183765 232769 328497 477789 480111 514995 547495 698307 796315 800185 1163845 1170797 1642485 1702889 2080481 2388945 2400555 3025997 3491535 3512391 5108667 5853985 6241443 8514445 9077991 10402405 15129985 15220361 17561955 22137557 22245143 25543335 31207215 32354891 45389955 45661083 66412671 66735429 76101805 97064673 103190173 110687785 111225715 161774455 228305415 289186859 309570519 332063355 333677145 420613583 485323365 515950865 867560577 1261840749 1341472249 1445934295 1547852595 1960613287 2103067915 4024416747 4337802885 5881839861 6309203745 6707361245 9803066435 14343434047 20122083735 25487972731 29409199305 43030302141 71717170235 76463918193 127439863655 186464642611 215151510705 272525246893 382319590965 559393927833 817575740679 932323213055 1362626234465 2796969639165 3542828209609 4087878703395 10628484628827 17714141048045 53142423144135