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142553001330 = 23352279912347
BaseRepresentation
bin1000010011000011010…
…0100010110101110010
3111121221202121210012000
42010300310202311302
54313422032020310
6145253221314430
713204411342605
oct2046064426562
9447852553160
10142553001330
11555024a88a3
1223764865a16
131059a78a97c
146c8471833c
153a94e1b4c0
hex2130d22d72

142553001330 has 128 divisors (see below), whose sum is σ = 382364098560. Its totient is φ = 37792370880.

The previous prime is 142553001329. The next prime is 142553001419. The reversal of 142553001330 is 33100355241.

142553001330 is a `hidden beast` number, since 1 + 4 + 25 + 5 + 300 + 1 + 330 = 666.

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 = 142553001294 and 142553001303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60737217 + ... + 60739563.

It is an arithmetic number, because the mean of its divisors is an integer number (2987219520).

Almost surely, 2142553001330 is an apocalyptic number.

142553001330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142553001330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191182049280).

142553001330 is an abundant number, since it is smaller than the sum of its proper divisors (239811097230).

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

142553001330 is a wasteful number, since it uses less digits than its factorization.

142553001330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3581 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 142553001330 its reverse (33100355241), we get a palindrome (175653356571).

The spelling of 142553001330 in words is "one hundred forty-two billion, five hundred fifty-three million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 227 270 454 681 991 1135 1362 1982 2043 2270 2347 2973 3405 4086 4694 4955 5946 6129 6810 7041 8919 9910 10215 11735 12258 14082 14865 17838 20430 21123 23470 26757 29730 30645 35205 42246 44595 53514 61290 63369 70410 89190 105615 126738 133785 211230 224957 267570 316845 449914 532769 633690 674871 1065538 1124785 1349742 1598307 2024613 2249570 2325877 2663845 3196614 3374355 4049226 4651754 4794921 5327690 6073839 6748710 6977631 7991535 9589842 10123065 11629385 12147678 13955262 14384763 15983070 20246130 20932893 23258770 23974605 28769526 30369195 34888155 41865786 47949210 60738390 62798679 69776310 71923815 104664465 125597358 143847630 209328930 313993395 527974079 627986790 1055948158 1583922237 2639870395 3167844474 4751766711 5279740790 7919611185 9503533422 14255300133 15839222370 23758833555 28510600266 47517667110 71276500665 142553001330