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40338838896 = 2431924749531
BaseRepresentation
bin100101100100011000…
…011101010101110000
310212010021122100002020
4211210120131111300
51130103220321041
630310441151440
72625430321206
oct454430352560
9125107570066
1040338838896
111612024a794
12799948b580
133a5b32b555
141d495b1076
1510b1618866
hex96461d570

40338838896 has 120 divisors (see below), whose sum is σ = 112324310784. Its totient is φ = 12467295360.

The previous prime is 40338838873. The next prime is 40338838907. The reversal of 40338838896 is 69883883304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 789651 + ... + 839181.

Almost surely, 240338838896 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 40338838896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56162155392).

40338838896 is an abundant number, since it is smaller than the sum of its proper divisors (71985471888).

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

40338838896 is a wasteful number, since it uses less digits than its factorization.

40338838896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49627 (or 49602 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 60.

The spelling of 40338838896 in words is "forty billion, three hundred thirty-eight million, eight hundred thirty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 47 48 57 76 94 114 141 152 188 228 282 304 361 376 456 564 722 752 893 912 1083 1128 1444 1786 2166 2256 2679 2888 3572 4332 5358 5776 7144 8664 10716 14288 16967 17328 21432 33934 42864 49531 50901 67868 99062 101802 135736 148593 198124 203604 271472 297186 396248 407208 594372 792496 814416 941089 1188744 1882178 2327957 2377488 2823267 3764356 4655914 5646534 6983871 7528712 9311828 11293068 13967742 15057424 17880691 18623656 22586136 27935484 35761382 37247312 44231183 45172272 53642073 55870968 71522764 88462366 107284146 111741936 132693549 143045528 176924732 214568292 265387098 286091056 353849464 429136584 530774196 707698928 840392477 858273168 1061548392 1680784954 2123096784 2521177431 3361569908 5042354862 6723139816 10084709724 13446279632 20169419448 40338838896