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142321400514135 = 3458317324473213
BaseRepresentation
bin100000010111000011001000…
…100001011000011001010111
3200122220210102002212011210000
4200113003020201120121113
5122123243212012423020
61222405314312302343
741656244660060133
oct4027031041303127
9618823362764700
10142321400514135
1141391192308347
1213b66a110a19b3
136154b09679a8b
14272056d1ac3c3
15116c18d83b090
hex8170c8858657

142321400514135 has 80 divisors (see below), whose sum is σ = 259690559968224. Its totient is φ = 74556759322368.

The previous prime is 142321400514131. The next prime is 142321400514211. The reversal of 142321400514135 is 531415004123241.

142321400514135 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 2 + 1 + 4 + 0 + 0 + 514 + 135 = 666.

It is not a de Polignac number, because 142321400514135 - 22 = 142321400514131 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 142321400514135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142321400514131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6421212 + ... + 18052001.

Almost surely, 2142321400514135 is an apocalyptic number.

142321400514135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

142321400514135 is a deficient number, since it is larger than the sum of its proper divisors (117369159454089).

142321400514135 is a wasteful number, since it uses less digits than its factorization.

142321400514135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24473486 (or 24473477 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 142321400514135 its reverse (531415004123241), we get a palindrome (673736404637376).

The spelling of 142321400514135 in words is "one hundred forty-two trillion, three hundred twenty-one billion, four hundred million, five hundred fourteen thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 81 83 135 173 249 405 415 519 747 865 1245 1557 2241 2595 3735 4671 6723 7785 11205 14013 14359 23355 33615 43077 70065 71795 129231 215385 387693 646155 1163079 1938465 5815395 24473213 73419639 122366065 220258917 367098195 660776751 1101294585 1982330253 2031276679 3303883755 4233865849 6093830037 9911651265 10156383395 12701597547 18281490111 21169329245 30469150185 38104792641 54844470333 63507987735 91407450555 114314377923 164533410999 190523963205 274222351665 342943133769 351410865467 571571889615 822667054995 1054232596401 1714715668845 1757054327335 3162697789203 5271162982005 9488093367609 15813488946015 28464280102827 47440466838045 142321400514135