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23140440303040 = 2654491183113613
BaseRepresentation
bin1010100001011110011011…
…01110010110010111000000
310000221012112001221101002001
411100233031232112113000
511013113110204144130
6121114323240433344
74605561453116434
oct520571556262700
9100835461841061
1023140440303040
117411895310065
122718932778854
13cbb198988968
145a00090389c4
152a1e08cc16ca
hex150bcdb965c0

23140440303040 has 112 divisors (see below), whose sum is σ = 55234622779200. Its totient is φ = 9234102026240.

The previous prime is 23140440302999. The next prime is 23140440303047. The reversal of 23140440303040 is 4030304404132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23140440303047) 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, 1699871274 + ... + 1699884886.

Almost surely, 223140440303040 is an apocalyptic number.

23140440303040 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 23140440303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27617311389600).

23140440303040 is an abundant number, since it is smaller than the sum of its proper divisors (32094182476160).

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

23140440303040 is a wasteful number, since it uses less digits than its factorization.

23140440303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25910 (or 25900 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 23140440303040 its reverse (4030304404132), we get a palindrome (27170744707172).

The spelling of 23140440303040 in words is "twenty-three trillion, one hundred forty billion, four hundred forty million, three hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 449 898 1796 2245 3592 4490 7184 8980 11831 13613 14368 17960 23662 27226 28736 35920 47324 54452 59155 68065 71840 94648 108904 118310 136130 143680 189296 217808 236620 272260 378592 435616 473240 544520 757184 871232 946480 1089040 1892960 2178080 3785920 4356160 5312119 6112237 10624238 12224474 21248476 24448948 26560595 30561185 42496952 48897896 53121190 61122370 84993904 97795792 106242380 122244740 161055403 169987808 195591584 212484760 244489480 322110806 339975616 391183168 424969520 488978960 644221612 805277015 849939040 977957920 1288443224 1610554030 1699878080 1955915840 2576886448 3221108060 5153772896 6442216120 10307545792 12884432240 25768864480 51537728960 72313875947 144627751894 289255503788 361569379735 578511007576 723138759470 1157022015152 1446277518940 2314044030304 2892555037880 4628088060608 5785110075760 11570220151520 23140440303040