Search a number
-
+
142201011423033 = 3319312929310489
BaseRepresentation
bin100000010101010011000000…
…110001011100011100111001
3200122111021122222112200122000
4200111103000301130130321
5122114310132411014113
61222234124240251213
741644453424506263
oct4025230061343471
9618437588480560
10142201011423033
1141345123859332
1213b47613010b09
1361466619a05b4
1427187cc300b33
151168e94629373
hex8154c0c5c739

142201011423033 has 96 divisors (see below), whose sum is σ = 229387528080000. Its totient is φ = 86820194580480.

The previous prime is 142201011423011. The next prime is 142201011423043. The reversal of 142201011423033 is 330324110102241.

142201011423033 is a `hidden beast` number, since 1 + 4 + 2 + 201 + 0 + 1 + 1 + 423 + 0 + 33 = 666.

It is not a de Polignac number, because 142201011423033 - 25 = 142201011423001 is a prime.

It is a super-2 number, since 2×1422010114230332 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 142201011422988 and 142201011423006.

It is not an unprimeable number, because it can be changed into a prime (142201011423043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 457835253 + ... + 458145741.

It is an arithmetic number, because the mean of its divisors is an integer number (2389453417500).

Almost surely, 2142201011423033 is an apocalyptic number.

It is an amenable number.

142201011423033 is a deficient number, since it is larger than the sum of its proper divisors (87186516656967).

142201011423033 is a wasteful number, since it uses less digits than its factorization.

142201011423033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311508 (or 311471 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 142201011423033 its reverse (330324110102241), we get a palindrome (472525121525274).

The spelling of 142201011423033 in words is "one hundred forty-two trillion, two hundred one billion, eleven million, four hundred twenty-three thousand, thirty-three".

Divisors: 1 3 9 19 27 31 57 93 171 279 513 589 837 929 961 1767 2787 2883 5301 8361 8649 15903 17651 18259 25083 25947 28799 52953 54777 86397 158859 164331 259191 310489 476577 492993 547181 777573 892769 931467 1641543 2678307 2794401 4924629 5899291 8034921 8383203 9625159 14773887 16962611 17697873 24104763 28875477 50887833 53093619 86626431 152663499 159280857 182878021 259879293 288444281 298379929 457990497 548634063 865332843 895139787 1645902189 2595998529 2685419361 4937706567 5480441339 5669218651 7787995587 8056258083 8941772711 16441324017 17007655953 26825318133 49323972051 51022967859 80475954399 147971916153 153068903577 169893681509 241427863197 277194954041 509681044527 831584862123 1529043133581 2494754586369 4587129400743 5266704126779 7484263759107 15800112380337 47400337141011 142201011423033