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23450140311040 = 295101521174079
BaseRepresentation
bin1010101010011111010010…
…10010000111111000000000
310002000210220121010212021201
411111033221102013320000
511033201341404423130
6121512502402430544
74640134223546602
oct525175122077000
9102023817125251
1023450140311040
11752116a9529a3
122768964662454
1310114532aa771
145b0dc852d172
152a9ed2d31bca
hex1553e9487e00

23450140311040 has 160 divisors (see below), whose sum is σ = 56891375861760. Its totient is φ = 9269305344000.

The previous prime is 23450140311011. The next prime is 23450140311041. The reversal of 23450140311040 is 4011304105432.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×234501403110403 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23450140311041) 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, 134622721 + ... + 134796799.

It is an arithmetic number, because the mean of its divisors is an integer number (355571099136).

Almost surely, 223450140311040 is an apocalyptic number.

23450140311040 is a gapful number since it is divisible by the number (20) 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 23450140311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28445687930880).

23450140311040 is an abundant number, since it is smaller than the sum of its proper divisors (33441235550720).

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

23450140311040 is a wasteful number, since it uses less digits than its factorization.

23450140311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174724 (or 174708 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 23450140311040 its reverse (4011304105432), we get a palindrome (27461444416472).

The spelling of 23450140311040 in words is "twenty-three trillion, four hundred fifty billion, one hundred forty million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 256 320 404 505 512 521 640 808 1010 1042 1280 1616 2020 2084 2560 2605 3232 4040 4168 5210 6464 8080 8336 10420 12928 16160 16672 20840 25856 32320 33344 41680 51712 52621 64640 66688 83360 105242 129280 133376 166720 174079 210484 258560 263105 266752 333440 348158 420968 526210 666880 696316 841936 870395 1052420 1333760 1392632 1683872 1740790 2104840 2785264 3367744 3481580 4209680 5570528 6735488 6963160 8419360 11141056 13470976 13926320 16838720 17581979 22282112 26941952 27852640 33677440 35163958 44564224 55705280 67354880 70327916 87909895 89128448 90695159 111410560 134709760 140655832 175819790 181390318 222821120 281311664 351639580 362780636 445642240 453475795 562623328 703279160 725561272 906951590 1125246656 1406558320 1451122544 1813903180 2250493312 2813116640 2902245088 3627806360 4500986624 5626233280 5804490176 7255612720 9001973248 9160211059 11252466560 11608980352 14511225440 18320422118 22504933120 23217960704 29022450880 36640844236 45009866240 45801055295 46435921408 58044901760 73281688472 91602110590 116089803520 146563376944 183204221180 232179607040 293126753888 366408442360 586253507776 732816884720 1172507015552 1465633769440 2345014031104 2931267538880 4690028062208 5862535077760 11725070155520 23450140311040