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142010413434 = 233193710336319
BaseRepresentation
bin1000010001000001111…
…0101111000101111010
3111120112221122110112000
42010100132233011322
54311314131212214
6145123320001430
713155102411651
oct2042036570572
9446487573460
10142010413434
11552541a354a
1223633000276
1310512244146
146c32638198
153a6248e809
hex21107af17a

142010413434 has 128 divisors (see below), whose sum is σ = 344487936000. Its totient is φ = 43208541504.

The previous prime is 142010413421. The next prime is 142010413451. The reversal of 142010413434 is 434314010241.

142010413434 is a `hidden beast` number, since 1 + 4 + 201 + 0 + 413 + 43 + 4 = 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 = 142010413398 and 142010413407.

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, 3891927 + ... + 3928245.

It is an arithmetic number, because the mean of its divisors is an integer number (2691312000).

Almost surely, 2142010413434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142010413434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172243968000).

142010413434 is an abundant number, since it is smaller than the sum of its proper divisors (202477522566).

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

142010413434 is a wasteful number, since it uses less digits than its factorization.

142010413434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36489 (or 36483 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 142010413434 its reverse (434314010241), we get a palindrome (576324423675).

The spelling of 142010413434 in words is "one hundred forty-two billion, ten million, four hundred thirteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 37 38 54 57 74 103 111 114 171 206 222 309 333 342 513 618 666 703 927 999 1026 1406 1854 1957 1998 2109 2781 3811 3914 4218 5562 5871 6327 7622 11433 11742 12654 17613 18981 22866 34299 35226 36319 37962 52839 68598 72409 72638 102897 105678 108957 144818 205794 217227 217914 326871 434454 651681 653742 690061 980613 1303362 1343803 1380122 1955043 1961226 2070183 2687606 3740857 3910086 4031409 4140366 6210549 7481714 8062818 11222571 12094227 12421098 18631647 22445142 24188454 25532257 33667713 36282681 37263294 51064514 67335426 71076283 72565362 76596771 101003139 138411709 142152566 153193542 202006278 213228849 229790313 276823418 415235127 426457698 459580626 639686547 689370939 830470254 1245705381 1279373094 1378741878 1919059641 2491410762 2629822471 3737116143 3838119282 5259644942 7474232286 7889467413 15778934826 23668402239 47336804478 71005206717 142010413434