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23140034003040 = 253548208404173
BaseRepresentation
bin1010100001011101101011…
…00000011100000001100000
310000221011110202102012020220
411100232311200130001200
511013111242201044130
6121114215044203040
74605545420455353
oct520566540340140
9100834422365226
1023140034003040
1174116a6a31939
12271883a699480
13cbb13274c966
1459ddab0b429a
152a1dd32b6410
hex150bb581c060

23140034003040 has 48 divisors (see below), whose sum is σ = 72891107111088. Its totient is φ = 6170675734016.

The previous prime is 23140034002979. The next prime is 23140034003041. The reversal of 23140034003040 is 4030043004132.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×231400340030402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23140034003040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23140034003041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24104201607 + ... + 24104202566.

It is an arithmetic number, because the mean of its divisors is an integer number (1518564731481).

Almost surely, 223140034003040 is an apocalyptic number.

23140034003040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23140034003040 is an abundant number, since it is smaller than the sum of its proper divisors (49751073108048).

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

23140034003040 is a wasteful number, since it uses less digits than its factorization.

23140034003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48208404191 (or 48208404183 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 23140034003040 its reverse (4030043004132), we get a palindrome (27170077007172).

The spelling of 23140034003040 in words is "twenty-three trillion, one hundred forty billion, thirty-four million, three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 48208404173 96416808346 144625212519 192833616692 241042020865 289250425038 385667233384 482084041730 578500850076 723126062595 771334466768 964168083460 1157001700152 1446252125190 1542668933536 1928336166920 2314003400304 2892504250380 3856672333840 4628006800608 5785008500760 7713344667680 11570017001520 23140034003040