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120040403424 = 2532973590657
BaseRepresentation
bin110111111001011110…
…1110011000111100000
3102110211211012022120120
41233302331303013200
53431320320402144
6131051254240240
711446466410434
oct1576275630740
9373754168516
10120040403424
11469aa750887
121b321356080
13b420692716
145b4a8629c4
1531c87d6e19
hex1bf2f731e0

120040403424 has 96 divisors (see below), whose sum is σ = 330437711520. Its totient is φ = 38104399872.

The previous prime is 120040403423. The next prime is 120040403467. The reversal of 120040403424 is 424304040021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 120040403394 and 120040403403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120040403423) 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, 92097 + ... + 498560.

It is an arithmetic number, because the mean of its divisors is an integer number (3442059495).

Almost surely, 2120040403424 is an apocalyptic number.

It is an amenable number.

120040403424 is an abundant number, since it is smaller than the sum of its proper divisors (210397308096).

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

120040403424 is a wasteful number, since it uses less digits than its factorization.

120040403424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590772 (or 590764 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 120040403424 its reverse (424304040021), we get a palindrome (544344443445).

The spelling of 120040403424 in words is "one hundred twenty billion, forty million, four hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 73 87 96 116 146 174 219 232 292 348 438 464 584 696 876 928 1168 1392 1752 2117 2336 2784 3504 4234 6351 7008 8468 12702 16936 25404 33872 50808 67744 101616 203232 590657 1181314 1771971 2362628 3543942 4725256 7087884 9450512 14175768 17129053 18901024 28351536 34258106 43117961 51387159 56703072 68516212 86235922 102774318 129353883 137032424 172471844 205548636 258707766 274064848 344943688 411097272 517415532 548129696 689887376 822194544 1034831064 1250420869 1379774752 1644389088 2069662128 2500841738 3751262607 4139324256 5001683476 7502525214 10003366952 15005050428 20006733904 30010100856 40013467808 60020201712 120040403424