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142122287500 = 2255139157521
BaseRepresentation
bin1000010001011100100…
…1100000000110001100
3111120211202011020212221
42010113021200012030
54312031301200000
6145142353505124
713160631340264
oct2042711400614
9446752136787
10142122287500
1155301365156
12236645721a4
131052c48450b
146c4343a7a4
153a6c1dc61a
hex211726018c

142122287500 has 144 divisors (see below), whose sum is σ = 315708230880. Its totient is φ = 55972800000.

The previous prime is 142122287491. The next prime is 142122287501. The reversal of 142122287500 is 5782221241.

It is not an unprimeable number, because it can be changed into a prime (142122287501) 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 47 ways as a sum of consecutive naturals, for example, 272787240 + ... + 272787760.

It is an arithmetic number, because the mean of its divisors is an integer number (2192418270).

Almost surely, 2142122287500 is an apocalyptic number.

142122287500 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 142122287500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157854115440).

142122287500 is an abundant number, since it is smaller than the sum of its proper divisors (173585943380).

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

142122287500 is a wasteful number, since it uses less digits than its factorization.

142122287500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The spelling of 142122287500 in words is "one hundred forty-two billion, one hundred twenty-two million, two hundred eighty-seven thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 139 157 250 278 314 500 521 556 625 628 695 785 1042 1250 1390 1570 2084 2500 2605 2780 3125 3140 3475 3925 5210 6250 6950 7850 10420 12500 13025 13900 15700 17375 19625 21823 26050 34750 39250 43646 52100 65125 69500 72419 78500 81797 86875 87292 98125 109115 130250 144838 163594 173750 196250 218230 260500 289676 325625 327188 347500 362095 392500 408985 434375 436460 490625 545575 651250 724190 817970 868750 981250 1091150 1302500 1448380 1628125 1635940 1737500 1810475 1962500 2044925 2182300 2727875 3256250 3620950 4089850 5455750 6512500 7241900 8179700 9052375 10224625 10911500 11369783 13639375 18104750 20449250 22739566 27278750 36209500 40898500 45261875 45479132 51123125 54557500 56848915 68196875 90523750 102246250 113697830 136393750 181047500 204492500 226309375 227395660 255615625 272787500 284244575 452618750 511231250 568489150 905237500 1022462500 1136978300 1421222875 2842445750 5684891500 7106114375 14212228750 28424457500 35530571875 71061143750 142122287500