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493311885440 = 27511157446323
BaseRepresentation
bin1110010110110111010…
…11100000000010000000
31202011022202100021211212
413023123223200002000
531040300320313230
61014342505425252
750432504561153
oct7133353400200
91664282307755
10493311885440
11180237775aa0
127b73519b228
133769964473a
1419c3ac91c9a
15cc738c4895
hex72dbae0080

493311885440 has 128 divisors (see below), whose sum is σ = 1294732365120. Its totient is φ = 178243153920.

The previous prime is 493311885439. The next prime is 493311885449. The reversal of 493311885440 is 44588113394.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (493311885449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 882119 + ... + 1328441.

Almost surely, 2493311885440 is an apocalyptic number.

493311885440 is a gapful number since it is divisible by the number (40) 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 493311885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647366182560).

493311885440 is an abundant number, since it is smaller than the sum of its proper divisors (801420479680).

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

493311885440 is a wasteful number, since it uses less digits than its factorization.

493311885440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446510 (or 446498 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 50.

The spelling of 493311885440 in words is "four hundred ninety-three billion, three hundred eleven million, eight hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 157 160 176 220 314 320 352 440 628 640 704 785 880 1256 1408 1570 1727 1760 2512 3140 3454 3520 5024 6280 6908 7040 8635 10048 12560 13816 17270 20096 25120 27632 34540 50240 55264 69080 100480 110528 138160 221056 276320 446323 552640 892646 1105280 1785292 2231615 3570584 4463230 4909553 7141168 8926460 9819106 14282336 17852920 19638212 24547765 28564672 35705840 39276424 49095530 57129344 70072711 71411680 78552848 98191060 140145422 142823360 157105696 196382120 280290844 285646720 314211392 350363555 392764240 560581688 628422784 700727110 770799821 785528480 1121163376 1401454220 1541599642 1571056960 2242326752 2802908440 3083199284 3142113920 3853999105 4484653504 5605816880 6166398568 7707998210 8969307008 11211633760 12332797136 15415996420 22423267520 24665594272 30831992840 44846535040 49331188544 61663985680 98662377088 123327971360 246655942720 493311885440