Search a number
-
+
142575531720 = 233543181152657
BaseRepresentation
bin1000010011001000101…
…0011111011011001000
3111122000100000110001220
42010302022133123020
54313443314003340
6145255344242040
713205104011066
oct2046212373310
9448010013056
10142575531720
1155514197256
1223770310320
13105a2348a6b
146c87701036
153a96dbbed0
hex213229f6c8

142575531720 has 128 divisors (see below), whose sum is σ = 440094695040. Its totient is φ = 36930539520.

The previous prime is 142575531719. The next prime is 142575531727. The reversal of 142575531720 is 27135575241.

It is a happy number.

It is a super-3 number, since 3×1425755317203 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (142575531727) 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 31 ways as a sum of consecutive naturals, for example, 857632 + ... + 1010288.

It is an arithmetic number, because the mean of its divisors is an integer number (3438239805).

Almost surely, 2142575531720 is an apocalyptic number.

142575531720 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 142575531720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220047347520).

142575531720 is an abundant number, since it is smaller than the sum of its proper divisors (297519163320).

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

142575531720 is a wasteful number, since it uses less digits than its factorization.

142575531720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152895 (or 152891 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 42.

The spelling of 142575531720 in words is "one hundred forty-two billion, five hundred seventy-five million, five hundred thirty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 181 215 258 344 362 430 516 543 645 724 860 905 1032 1086 1290 1448 1720 1810 2172 2580 2715 3620 4344 5160 5430 7240 7783 10860 15566 21720 23349 31132 38915 46698 62264 77830 93396 116745 152657 155660 186792 233490 305314 311320 457971 466980 610628 763285 915942 933960 1221256 1526570 1831884 2289855 3053140 3663768 4579710 6106280 6564251 9159420 13128502 18318840 19692753 26257004 27630917 32821255 39385506 52514008 55261834 65642510 78771012 82892751 98463765 110523668 131285020 138154585 157542024 165785502 196927530 221047336 262570040 276309170 331571004 393855060 414463755 552618340 663142008 787710120 828927510 1105236680 1188129431 1657855020 2376258862 3315710040 3564388293 4752517724 5940647155 7128776586 9505035448 11881294310 14257553172 17821941465 23762588620 28515106344 35643882930 47525177240 71287765860 142575531720