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10211144040 = 2333529393217
BaseRepresentation
bin10011000001010000…
…11011000101101000
3222100122001212022000
421200220123011220
5131403023102130
64405124131000
7511020202146
oct114050330550
928318055260
1010211144040
11436aa19719
121b8b836a60
13c69676c86
146cc206596
153eb6b9260
hex260a1b168

10211144040 has 128 divisors (see below), whose sum is σ = 34059312000. Its totient is φ = 2721199104.

The previous prime is 10211144039. The next prime is 10211144051. The reversal of 10211144040 is 4044111201.

10211144040 is a `hidden beast` number, since 10 + 211 + 1 + 440 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 3172512 + ... + 3175728.

It is an arithmetic number, because the mean of its divisors is an integer number (266088375).

Almost surely, 210211144040 is an apocalyptic number.

10211144040 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 10211144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17029656000).

10211144040 is an abundant number, since it is smaller than the sum of its proper divisors (23848167960).

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

10211144040 is a wasteful number, since it uses less digits than its factorization.

10211144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6176 (or 6166 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10211144040 its reverse (4044111201), we get a palindrome (14255255241).

The spelling of 10211144040 in words is "ten billion, two hundred eleven million, one hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2939 3217 5878 6434 8817 9651 11756 12868 14695 16085 17634 19302 23512 25736 26451 28953 29390 32170 35268 38604 44085 48255 52902 57906 58780 64340 70536 77208 79353 86859 88170 96510 105804 115812 117560 128680 132255 144765 158706 173718 176340 193020 211608 231624 264510 289530 317412 347436 352680 386040 396765 434295 529020 579060 634824 694872 793530 868590 1058040 1158120 1587060 1737180 3174120 3474360 9454763 18909526 28364289 37819052 47273815 56728578 75638104 85092867 94547630 113457156 141821445 170185734 189095260 226914312 255278601 283642890 340371468 378190520 425464335 510557202 567285780 680742936 850928670 1021114404 1134571560 1276393005 1701857340 2042228808 2552786010 3403714680 5105572020 10211144040