Search a number
-
+
142633305104 = 24232374191087
BaseRepresentation
bin1000010011010110011…
…0111000010000010000
3111122011100201122020212
42010311212320100100
54314103111230404
6145305210423252
713206405042443
oct2046546702020
9448140648225
10142633305104
1155543867254
1223787731b28
13105b12c63b4
146c9125d65a
153a9bed006e
hex21359b8410

142633305104 has 120 divisors (see below), whose sum is σ = 297679280640. Its totient is φ = 66152934144.

The previous prime is 142633305079. The next prime is 142633305107. The reversal of 142633305104 is 401503336241.

It is not an unprimeable number, because it can be changed into a prime (142633305107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131216849 + ... + 131217935.

It is an arithmetic number, because the mean of its divisors is an integer number (2480660672).

Almost surely, 2142633305104 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 142633305104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148839640320).

142633305104 is an abundant number, since it is smaller than the sum of its proper divisors (155045975536).

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

142633305104 is a wasteful number, since it uses less digits than its factorization.

142633305104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 142633305104 in words is "one hundred forty-two billion, six hundred thirty-three million, three hundred five thousand, one hundred four".

Divisors: 1 2 4 8 16 23 37 46 74 92 148 184 296 368 419 529 592 838 851 1058 1087 1676 1702 2116 2174 3352 3404 4232 4348 6704 6808 8464 8696 9637 13616 15503 17392 19274 19573 25001 31006 38548 39146 40219 50002 62012 77096 78292 80438 100004 124024 154192 156584 160876 200008 221651 248048 313168 321752 356569 400016 443302 455453 575023 643504 713138 886604 910906 925037 1150046 1426276 1773208 1821812 1850074 2300092 2852552 3546416 3643624 3700148 4600184 5705104 7287248 7400296 8201087 9200368 10475419 14800592 16402174 16851761 20950838 21275851 32804348 33703522 41901676 42551702 65608696 67407044 83803352 85103404 131217392 134814088 167606704 170206808 240934637 269628176 340413616 387590503 481869274 775181006 963738548 1550362012 1927477096 3100724024 3854954192 6201448048 8914581569 17829163138 35658326276 71316652552 142633305104