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142605221544 = 233319318710903
BaseRepresentation
bin1000010011001111101…
…1101111111010101000
3111122002101212211212000
42010303323233322220
54314023414042134
6145302324451000
713205614245252
oct2046373577250
9448071784760
10142605221544
1155529a256a5
122377a249a60
13105a85427c6
146c8b62ccd2
153a997d3e99
hex2133eefea8

142605221544 has 128 divisors (see below), whose sum is σ = 417143424000. Its totient is φ = 45014968512.

The previous prime is 142605221501. The next prime is 142605221567. The reversal of 142605221544 is 445122506241.

142605221544 is a `hidden beast` number, since 1 + 4 + 2 + 60 + 52 + 2 + 1 + 544 = 666.

It is a super-2 number, since 2×1426052215442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142605221499 and 142605221508.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13073997 + ... + 13084899.

It is an arithmetic number, because the mean of its divisors is an integer number (3258933000).

Almost surely, 2142605221544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142605221544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208571712000).

142605221544 is an abundant number, since it is smaller than the sum of its proper divisors (274538202456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142605221544 is a wasteful number, since it uses less digits than its factorization.

142605221544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14124 (or 14114 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 142605221544 its reverse (445122506241), we get a palindrome (587727727785).

The spelling of 142605221544 in words is "one hundred forty-two billion, six hundred five million, two hundred twenty-one thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 3187 4104 6374 9561 10903 12748 19122 21806 25496 28683 32709 38244 43612 57366 60553 65418 76488 86049 87224 98127 114732 121106 130836 172098 181659 196254 207157 229464 242212 261672 294381 344196 363318 392508 414314 484424 544977 588762 621471 688392 726636 785016 828628 1089954 1177524 1242942 1453272 1634931 1657256 1864413 2179908 2355048 2485884 3269862 3728826 4359816 4971768 5593239 6539724 7457652 11186478 13079448 14915304 22372956 34747861 44745912 69495722 104243583 138991444 208487166 277982888 312730749 416974332 625461498 660209359 833948664 938192247 1250922996 1320418718 1876384494 1980628077 2501845992 2640837436 3752768988 3961256154 5281674872 5941884231 7505537976 7922512308 11883768462 15845024616 17825652693 23767536924 35651305386 47535073848 71302610772 142605221544