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142440053346801 = 34723320647409
BaseRepresentation
bin100000011000110001101000…
…110010000001000111110001
3200200100010200020002121010000
4200120301220302001013301
5122132214212124044201
61222540020202300213
742000645210363030
oct4030615062010761
9620303606077100
10142440053346801
114142753a789731
1213b85a057b7669
1361630687231c2
1427261c7636717
1511702d53d5d86
hex818c68c811f1

142440053346801 has 80 divisors (see below), whose sum is σ = 254230733433600. Its totient is φ = 77855429114496.

The previous prime is 142440053346749. The next prime is 142440053346839. The reversal of 142440053346801 is 108643350044241.

142440053346801 is a `hidden beast` number, since 1 + 42 + 440 + 0 + 53 + 3 + 46 + 80 + 1 = 666.

It is not a de Polignac number, because 142440053346801 - 218 = 142440053084657 is a prime.

It is a super-2 number, since 2×1424400533468012 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (142440053346401) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3425016 + ... + 17222393.

It is an arithmetic number, because the mean of its divisors is an integer number (3177884167920).

Almost surely, 2142440053346801 is an apocalyptic number.

It is an amenable number.

142440053346801 is a deficient number, since it is larger than the sum of its proper divisors (111790680086799).

142440053346801 is an frugal number, since it uses more digits than its factorization.

142440053346801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20647497 (or 20647442 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 142440053346801 in words is "one hundred forty-two trillion, four hundred forty billion, fifty-three million, three hundred forty-six thousand, eight hundred one".

Divisors: 1 3 7 9 21 23 27 63 69 81 161 189 207 483 529 567 621 1449 1587 1863 3703 4347 4761 11109 12167 13041 14283 33327 36501 42849 85169 99981 109503 255507 299943 328509 766521 985527 2299563 6898689 20647409 61942227 144531863 185826681 433595589 474890407 557480043 1300786767 1424671221 1672440129 3324232849 3902360301 4274013663 9972698547 10922479361 11707080903 12822040989 29918095641 32767438083 38466122967 76457355527 89754286923 98302314249 229372066581 251217025303 269262860769 294906942747 688116199743 753651075909 884720828241 1758519177121 2064348599229 2260953227727 5275557531363 6193045797687 6782859683181 15826672594089 20348579049543 47480017782267 142440053346801