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142552526040 = 233253491134611
BaseRepresentation
bin1000010011000011001…
…0101110110011011000
3111121221201201122012200
42010300302232303120
54313421421313130
6145253203210200
713204404323121
oct2046062566330
9447851648180
10142552526040
11555022037a1
1223764676960
131059a652532
146c84633048
153a94d75760
hex2130caecd8

142552526040 has 96 divisors (see below), whose sum is σ = 464623614000. Its totient is φ = 37905050880.

The previous prime is 142552526009. The next prime is 142552526041. The reversal of 142552526040 is 40625255241.

142552526040 is a `hidden beast` number, since 1 + 4 + 2 + 552 + 5 + 2 + 60 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142552525986 and 142552526004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142552526041) 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 23 ways as a sum of consecutive naturals, for example, 441666 + ... + 692945.

Almost surely, 2142552526040 is an apocalyptic number.

142552526040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142552526040 is an abundant number, since it is smaller than the sum of its proper divisors (322071087960).

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

142552526040 is a wasteful number, since it uses less digits than its factorization.

142552526040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134977 (or 1134970 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 142552526040 in words is "one hundred forty-two billion, five hundred fifty-two million, five hundred twenty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 349 360 698 1047 1396 1745 2094 2792 3141 3490 4188 5235 6282 6980 8376 10470 12564 13960 15705 20940 25128 31410 41880 62820 125640 1134611 2269222 3403833 4538444 5673055 6807666 9076888 10211499 11346110 13615332 17019165 20422998 22692220 27230664 34038330 40845996 45384440 51057495 68076660 81691992 102114990 136153320 204229980 395979239 408459960 791958478 1187937717 1583916956 1979896195 2375875434 3167833912 3563813151 3959792390 4751750868 5939688585 7127626302 7919584780 9503501736 11879377170 14255252604 15839169560 17819065755 23758754340 28510505208 35638131510 47517508680 71276263020 142552526040