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10011234040 = 2351741419857
BaseRepresentation
bin10010101001011011…
…10100111011111000
3221211200220101022221
421110231310323320
5131000333442130
64333223253424
7503042041153
oct112455647370
927750811287
1010011234040
114278098345
121b348aa274
13c37121932
146ad848c9a
153d8d7b87a
hex254b74ef8

10011234040 has 128 divisors (see below), whose sum is σ = 24518894400. Its totient is φ = 3663953920.

The previous prime is 10011234031. The next prime is 10011234053. The reversal of 10011234040 is 4043211001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11681292 + ... + 11682148.

Almost surely, 210011234040 is an apocalyptic number.

10011234040 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 10011234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12259447200).

10011234040 is an abundant number, since it is smaller than the sum of its proper divisors (14507660360).

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

10011234040 is a wasteful number, since it uses less digits than its factorization.

10011234040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10011234040 its reverse (4043211001), we get a palindrome (14054445041).

The spelling of 10011234040 in words is "ten billion, eleven million, two hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 85 136 164 170 205 328 340 410 419 680 697 820 838 857 1394 1640 1676 1714 2095 2788 3352 3428 3485 4190 4285 5576 6856 6970 7123 8380 8570 13940 14246 14569 16760 17140 17179 27880 28492 29138 34280 34358 35137 35615 56984 58276 68716 70274 71230 72845 85895 116552 137432 140548 142460 145690 171790 175685 281096 284920 291380 292043 343580 351370 359083 582760 584086 597329 687160 702740 718166 1168172 1194658 1405480 1436332 1460215 1795415 2336344 2389316 2872664 2920430 2986645 3590830 4778632 5840860 5973290 6104411 7181660 11681720 11946580 12208822 14363320 14722403 23893160 24417644 29444806 30522055 48835288 58889612 61044110 73612015 117779224 122088220 147224030 244176440 250280851 294448060 500561702 588896120 1001123404 1251404255 2002246808 2502808510 5005617020 10011234040