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142025327952 = 243173113274231
BaseRepresentation
bin1000010001000101011…
…1101000010101010000
3111120120222201012101120
42010101113220111100
54311331440443302
6145125011402240
713155343240344
oct2042127502520
9446528635346
10142025327952
115526165aaa2
1223637bb3380
13105153668c1
146c345db624
153a639389bc
hex21115e8550

142025327952 has 160 divisors (see below), whose sum is σ = 401409736704. Its totient is φ = 43076966400.

The previous prime is 142025327903. The next prime is 142025327953. The reversal of 142025327952 is 259723520241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142025327953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33565677 + ... + 33569907.

Almost surely, 2142025327952 is an apocalyptic number.

142025327952 is a gapful number since it is divisible by the number (12) 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 142025327952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200704868352).

142025327952 is an abundant number, since it is smaller than the sum of its proper divisors (259384408752).

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

142025327952 is a wasteful number, since it uses less digits than its factorization.

142025327952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5617 (or 5611 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 142025327952 in words is "one hundred forty-two billion, twenty-five million, three hundred twenty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 248 272 372 408 496 527 744 816 1054 1327 1488 1581 2108 2654 3162 3981 4216 4231 5308 6324 7962 8432 8462 10616 12648 12693 15924 16924 21232 22559 25296 25386 31848 33848 41137 45118 50772 63696 67677 67696 71927 82274 90236 101544 123411 131161 135354 143854 164548 180472 203088 215781 246822 262322 270708 287708 329096 360944 393483 431562 493644 524644 541416 575416 658192 699329 786966 863124 987288 1049288 1082832 1150832 1398658 1573932 1726248 1974576 2097987 2098576 2229737 2797316 3147864 3452496 4195974 4459474 5594632 5614537 6295728 6689211 8391948 8918948 11189264 11229074 13378422 16783896 16843611 17837896 22458148 26756844 33567792 33687222 35675792 44916296 53513688 67374444 89832592 95447129 107027376 134748888 174050647 190894258 269497776 286341387 348101294 381788516 522151941 572682774 696202588 763577032 1044303882 1145365548 1392405176 1527154064 2088607764 2290731096 2784810352 2958860999 4177215528 4581462192 5917721998 8354431056 8876582997 11835443996 17753165994 23670887992 35506331988 47341775984 71012663976 142025327952