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142275750056 = 231117311313977
BaseRepresentation
bin1000010010000001001…
…0111010100010101000
3111121020102220221221022
42010200102322202220
54312340043000211
6145205515032012
713164503631056
oct2044022724250
9447212827838
10142275750056
115537aa51910
12236a7a3b608
13105551c646b
146c599871d6
153a7a902bdb
hex21204ba8a8

142275750056 has 128 divisors (see below), whose sum is σ = 310433160960. Its totient is φ = 60415180800.

The previous prime is 142275750053. The next prime is 142275750061. The reversal of 142275750056 is 650057572241.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 142275749989 and 142275750016.

It is not an unprimeable number, because it can be changed into a prime (142275750053) 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, 145624640 + ... + 145625616.

It is an arithmetic number, because the mean of its divisors is an integer number (2425259070).

Almost surely, 2142275750056 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 142275750056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155216580480).

142275750056 is an abundant number, since it is smaller than the sum of its proper divisors (168157410904).

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

142275750056 is a wasteful number, since it uses less digits than its factorization.

142275750056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 44.

The spelling of 142275750056 in words is "one hundred forty-two billion, two hundred seventy-five million, seven hundred fifty thousand, fifty-six".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 311 313 374 622 626 748 977 1244 1252 1496 1954 2488 2504 3421 3443 3908 5287 5321 6842 6886 7816 10574 10642 10747 13684 13772 16609 21148 21284 21494 27368 27544 33218 42296 42568 42988 58157 58531 66436 85976 97343 116314 117062 132872 182699 194686 232628 234124 303847 305801 365398 389372 465256 468248 607694 611602 730796 778744 1070773 1215388 1223204 1461592 1654831 2141546 2430776 2446408 3309662 3342317 3363811 4283092 5165399 5198617 6619324 6684634 6727622 8566184 10330798 10397234 13238648 13369268 13455244 18203141 20661596 20794468 26738536 26910488 36406282 41323192 41588936 56819389 57184787 72812564 95104111 113638778 114369574 145625128 190208222 227277556 228739148 380416444 454555112 457478296 760832888 1046145221 1616769887 2092290442 3233539774 4184580884 6467079548 8369161768 12934159096 17784468757 35568937514 71137875028 142275750056