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142404453152 = 25136131317929
BaseRepresentation
bin1000010010011111110…
…1111000001100100000
3111121120102002202101122
42010213331320030200
54313121020000102
6145230353351412
713200625610543
oct2044775701440
9447512082348
10142404453152
1155436668405
1223722b68568
1310575a79840
146c6caca85a
153a86d770a2
hex2127f78320

142404453152 has 96 divisors (see below), whose sum is σ = 307872013680. Its totient is φ = 64437534720.

The previous prime is 142404453151. The next prime is 142404453193. The reversal of 142404453152 is 251354404241.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 212110096 + 142192343056 = 14564^2 + 377084^2 .

It is not an unprimeable number, because it can be changed into a prime (142404453151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7933724 + ... + 7951652.

Almost surely, 2142404453152 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 142404453152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153936006840).

142404453152 is an abundant number, since it is smaller than the sum of its proper divisors (165467560528).

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

142404453152 is a wasteful number, since it uses less digits than its factorization.

142404453152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18326 (or 18318 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 142404453152 its reverse (251354404241), we get a palindrome (393758857393).

The spelling of 142404453152 in words is "one hundred forty-two billion, four hundred four million, four hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 61 104 122 208 244 313 416 488 626 793 976 1252 1586 1952 2504 3172 4069 5008 6344 8138 10016 12688 16276 17929 19093 25376 32552 35858 38186 65104 71716 76372 130208 143432 152744 233077 248209 286864 305488 466154 496418 573728 610976 932308 992836 1093669 1864616 1985672 2187338 3729232 3971344 4374676 5611777 7458464 7942688 8749352 11223554 14217697 17498704 22447108 28435394 34997408 44894216 56870788 72953101 89788432 113741576 145906202 179576864 227483152 291812404 342318397 454966304 583624808 684636794 1167249616 1369273588 2334499232 2738547176 4450139161 5477094352 8900278322 10954188704 17800556644 35601113288 71202226576 142404453152