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331104251334640 = 2457653905448073
BaseRepresentation
bin100101101001000110011011…
…1010010001100111111110000
31121102100020221120100021211111
41023102030313102030333300
5321344303001320202030
63132111105421523104
7126512331003511420
oct11322146722147760
91542306846307744
10331104251334640
1196555585010173
123117627ba13494
1311299cc632ca54
145ba9761b46480
152842bac45862a
hex12d233748cff0

331104251334640 has 80 divisors (see below), whose sum is σ = 881138604109248. Its totient is φ = 113347611445248.

The previous prime is 331104251334629. The next prime is 331104251334697. The reversal of 331104251334640 is 46433152401133.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 331104251334593 and 331104251334602.

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, 452358357 + ... + 453089716.

Almost surely, 2331104251334640 is an apocalyptic number.

It is an amenable number.

331104251334640 is an abundant number, since it is smaller than the sum of its proper divisors (550034352774608).

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

331104251334640 is a wasteful number, since it uses less digits than its factorization.

331104251334640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905448746 (or 905448740 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 331104251334640 in words is "three hundred thirty-one trillion, one hundred four billion, two hundred fifty-one million, three hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 653 1306 2612 3265 4571 5224 6530 9142 10448 13060 18284 22855 26120 36568 45710 52240 73136 91420 182840 365680 905448073 1810896146 3621792292 4527240365 6338136511 7243584584 9054480730 12676273022 14487169168 18108961460 25352546044 31690682555 36217922920 50705092088 63381365110 72435845840 101410184176 126762730220 253525460440 507050920880 591257591669 1182515183338 2365030366676 2956287958345 4138803141683 4730060733352 5912575916690 8277606283366 9460121466704 11825151833380 16555212566732 20694015708415 23650303666760 33110425133464 41388031416830 47300607333520 66220850266928 82776062833660 165552125667320 331104251334640