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142034004 = 223274159233
BaseRepresentation
bin10000111011101…
…00010001010100
3100220021002000200
420131310101110
5242330042004
622032140500
73343161210
oct1035642124
9326232020
10142034004
11731a1282
123b697730
13235700b8
1414c13940
15c709239
hex8774454

142034004 has 144 divisors (see below), whose sum is σ = 429287040. Its totient is φ = 38753280.

The previous prime is 142034003. The next prime is 142034029. The reversal of 142034004 is 400430241.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142034003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 609472 + ... + 609704.

It is an arithmetic number, because the mean of its divisors is an integer number (2981160).

Almost surely, 2142034004 is an apocalyptic number.

142034004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142034004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214643520).

142034004 is an abundant number, since it is smaller than the sum of its proper divisors (287253036).

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

142034004 is a wasteful number, since it uses less digits than its factorization.

142034004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 142034004 is about 11917.8019785529. The cubic root of 142034004 is about 521.7519850565.

Adding to 142034004 its reverse (400430241), we get a palindrome (542464245).

The spelling of 142034004 in words is "one hundred forty-two million, thirty-four thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 59 63 82 84 118 123 126 164 177 233 236 246 252 287 354 369 413 466 492 531 574 699 708 738 826 861 932 1062 1148 1239 1398 1476 1631 1652 1722 2097 2124 2419 2478 2583 2796 3262 3444 3717 4194 4838 4893 4956 5166 6524 7257 7434 8388 9553 9676 9786 10332 13747 14514 14679 14868 16933 19106 19572 21771 27494 28659 29028 29358 33866 38212 41241 43542 50799 54988 57318 58716 66871 67732 82482 85977 87084 96229 101598 114636 123723 133742 152397 164964 171954 192458 200613 203196 247446 267484 288687 304794 343908 384916 401226 494892 563627 577374 601839 609588 802452 866061 1127254 1154748 1203678 1690881 1732122 2254508 2407356 3381762 3464244 3945389 5072643 6763524 7890778 10145286 11836167 15781556 20290572 23672334 35508501 47344668 71017002 142034004