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141025608 = 233217292137
BaseRepresentation
bin10000110011111…
…10000101001000
3100211100211202200
420121332011020
5242100304413
621554400200
73331461243
oct1031760510
9324324680
10141025608
1172672699
123b290060
13232a9109
1414a3025a
15c5aa573
hex867e148

141025608 has 144 divisors (see below), whose sum is σ = 421894980. Its totient is φ = 42405888.

The previous prime is 141025583. The next prime is 141025631. The reversal of 141025608 is 806520141.

It can be written as a sum of positive squares in 6 ways, for example, as 100040004 + 40985604 = 10002^2 + 6402^2 .

It is a super-2 number, since 2×1410256082 = 39776444223539328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1029316 + ... + 1029452.

Almost surely, 2141025608 is an apocalyptic number.

141025608 is a gapful number since it is divisible by the number (18) 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 141025608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210947490).

141025608 is an abundant number, since it is smaller than the sum of its proper divisors (280869372).

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

141025608 is a wasteful number, since it uses less digits than its factorization.

141025608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 141025608 is about 11875.4203294031. The cubic root of 141025608 is about 520.5142939432.

Adding to 141025608 its reverse (806520141), we get a palindrome (947545749).

The spelling of 141025608 in words is "one hundred forty-one million, twenty-five thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 29 34 36 51 58 68 72 87 102 116 136 137 153 174 204 232 261 274 306 348 408 411 493 522 548 612 696 822 841 986 1044 1096 1224 1233 1479 1644 1682 1972 2088 2329 2466 2523 2958 3288 3364 3944 3973 4437 4658 4932 5046 5916 6728 6987 7569 7946 8874 9316 9864 10092 11832 11919 13974 14297 15138 15892 17748 18632 20184 20961 23838 27948 28594 30276 31784 35496 35757 41922 42891 47676 55896 57188 60552 67541 71514 83844 85782 95352 114376 115217 128673 135082 143028 167688 171564 202623 230434 257346 270164 286056 343128 345651 405246 460868 514692 540328 607869 691302 810492 921736 1029384 1036953 1215738 1382604 1620984 1958689 2073906 2431476 2765208 3917378 4147812 4862952 5876067 7834756 8295624 11752134 15669512 17628201 23504268 35256402 47008536 70512804 141025608