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10041233440 = 255723393833
BaseRepresentation
bin10010101101000000…
…10001000000100000
3221220210100111202211
421112200101000200
5131031023432230
64340214251504
7503555035030
oct112640210040
927823314684
1010041233440
114293018337
121b42956b94
13c403c6564
146b38178c0
153db80542a
hex256811020

10041233440 has 96 divisors (see below), whose sum is σ = 27129997440. Its totient is φ = 3440338944.

The previous prime is 10041233407. The next prime is 10041233479. The reversal of 10041233440 is 4433214001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2617764 + ... + 2621596.

It is an arithmetic number, because the mean of its divisors is an integer number (282604140).

Almost surely, 210041233440 is an apocalyptic number.

10041233440 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 10041233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13564998720).

10041233440 is an abundant number, since it is smaller than the sum of its proper divisors (17088764000).

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

10041233440 is a wasteful number, since it uses less digits than its factorization.

10041233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6194 (or 6186 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10041233440 its reverse (4433214001), we get a palindrome (14474447441).

The spelling of 10041233440 in words is "ten billion, forty-one million, two hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2339 3833 4678 7666 9356 11695 15332 16373 18712 19165 23390 26831 30664 32746 37424 38330 46780 53662 61328 65492 74848 76660 81865 93560 107324 122656 130984 134155 153320 163730 187120 214648 261968 268310 306640 327460 374240 429296 523936 536620 613280 654920 858592 1073240 1309840 2146480 2619680 4292960 8965387 17930774 35861548 44826935 62757709 71723096 89653870 125515418 143446192 179307740 251030836 286892384 313788545 358615480 502061672 627577090 717230960 1004123344 1255154180 1434461920 2008246688 2510308360 5020616720 10041233440