Search a number
-
+
142153453000 = 23531335330977
BaseRepresentation
bin1000010001100100000…
…0011000110111001000
3111120220220210121220201
42010121000120313020
54312112240444000
6145145425501544
713161460261636
oct2043100306710
9446826717821
10142153453000
1155317a11269
1223672aa18b4
1310535a76b40
146c47630356
153a6ece696a
hex2119018dc8

142153453000 has 128 divisors (see below), whose sum is σ = 359253105120. Its totient is φ = 52337049600.

The previous prime is 142153452941. The next prime is 142153453009. The reversal of 142153453000 is 354351241.

It can be written as a sum of positive squares in 16 ways, for example, as 661621284 + 141491831716 = 25722^2 + 376154^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 142153453000.

It is not an unprimeable number, because it can be changed into a prime (142153453009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4573512 + ... + 4604488.

Almost surely, 2142153453000 is an apocalyptic number.

142153453000 is a gapful number since it is divisible by the number (10) 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 142153453000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179626552560).

142153453000 is an abundant number, since it is smaller than the sum of its proper divisors (217099652120).

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

142153453000 is a wasteful number, since it uses less digits than its factorization.

142153453000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31364 (or 31350 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 142153453000 in words is "one hundred forty-two billion, one hundred fifty-three million, four hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 353 500 520 650 706 1000 1300 1412 1625 1765 2600 2824 3250 3530 4589 6500 7060 8825 9178 13000 14120 17650 18356 22945 30977 35300 36712 44125 45890 61954 70600 88250 91780 114725 123908 154885 176500 183560 229450 247816 309770 353000 402701 458900 573625 619540 774425 805402 917800 1147250 1239080 1548850 1610804 2013505 2294500 3097700 3221608 3872125 4027010 4589000 6195400 7744250 8054020 10067525 10934881 15488500 16108040 20135050 21869762 30977000 40270100 43739524 50337625 54674405 80540200 87479048 100675250 109348810 142153453 201350500 218697620 273372025 284306906 402701000 437395240 546744050 568613812 710767265 1093488100 1137227624 1366860125 1421534530 2186976200 2733720250 2843069060 3553836325 5467440500 5686138120 7107672650 10934881000 14215345300 17769181625 28430690600 35538363250 71076726500 142153453000