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132014020041240 = 23351957900885983
BaseRepresentation
bin11110000001000011101000…
…110001010001101000011000
3122022102102021001001000201120
4132001003220301101220120
5114300404203112304430
61144434223101045240
736543461324455401
oct3601035061215030
9568372231030646
10132014020041240
1139077916795557
1212981250256820
135887b3a62453c
142485726a609a8
15103dec3317610
hex7810e8c51a18

132014020041240 has 64 divisors (see below), whose sum is σ = 416886379084800. Its totient is φ = 33350910325632.

The previous prime is 132014020041223. The next prime is 132014020041289. The reversal of 132014020041240 is 42140020410231.

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 132014020041240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28950440712 + ... + 28950445271.

It is an arithmetic number, because the mean of its divisors is an integer number (6513849673200).

Almost surely, 2132014020041240 is an apocalyptic number.

132014020041240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132014020041240 is an abundant number, since it is smaller than the sum of its proper divisors (284872359043560).

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

132014020041240 is a wasteful number, since it uses less digits than its factorization.

132014020041240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57900886016 (or 57900886012 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 132014020041240 its reverse (42140020410231), we get a palindrome (174154040451471).

The spelling of 132014020041240 in words is "one hundred thirty-two trillion, fourteen billion, twenty million, forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 57900885983 115801771966 173702657949 231603543932 289504429915 347405315898 463207087864 579008859830 694810631796 868513289745 1100116833677 1158017719660 1389621263592 1737026579490 2200233667354 2316035439320 3300350501031 3474053158980 4400467334708 5500584168385 6600701002062 6948106317960 8800934669416 11001168336770 13201402004124 16501752505155 22002336673540 26402804008248 33003505010310 44004673347080 66007010020620 132014020041240