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1030141656 = 2332172311597
BaseRepresentation
bin111101011001101…
…011011011011000
32122210101121200200
4331121223123120
54102204013111
6250115302200
734346026305
oct7531533330
92583347620
101030141656
11489540745
12248baa960
1313556179b
149ab560ac
1560687256
hex3d66b6d8

1030141656 has 144 divisors (see below), whose sum is σ = 3061256640. Its totient is φ = 312560640.

The previous prime is 1030141643. The next prime is 1030141667. The reversal of 1030141656 is 6561410301.

1030141656 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 1 + 4 + 1 + 656 = 666.

It is a super-2 number, since 2×10301416562 = 2122383662852844672, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

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, 644250 + ... + 645846.

Almost surely, 21030141656 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 1030141656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530628320).

1030141656 is an abundant number, since it is smaller than the sum of its proper divisors (2031114984).

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

1030141656 is a wasteful number, since it uses less digits than its factorization.

1030141656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1030141656 is about 32095.8199147490. The cubic root of 1030141656 is about 1009.9479292176.

Adding to 1030141656 its reverse (6561410301), we get a palindrome (7591551957).

The spelling of 1030141656 in words is "one billion, thirty million, one hundred forty-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 31 34 36 51 62 68 72 93 102 124 136 153 186 204 248 279 289 306 372 408 527 558 578 612 744 867 1054 1116 1156 1224 1581 1597 1734 2108 2232 2312 2601 3162 3194 3468 4216 4743 4791 5202 6324 6388 6936 8959 9486 9582 10404 12648 12776 14373 17918 18972 19164 20808 26877 27149 28746 35836 37944 38328 49507 53754 54298 57492 71672 80631 81447 99014 107508 108596 114984 148521 161262 162894 198028 215016 217192 244341 297042 322524 325788 396056 445563 461533 488682 594084 645048 651576 841619 891126 923066 977364 1188168 1384599 1683238 1782252 1846132 1954728 2524857 2769198 3366476 3564504 3692264 4153797 5049714 5538396 6732952 7574571 8307594 10099428 11076792 14307523 15149142 16615188 20198856 28615046 30298284 33230376 42922569 57230092 60596568 85845138 114460184 128767707 171690276 257535414 343380552 515070828 1030141656