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12303464147440 = 2453143271146539
BaseRepresentation
bin1011001100001001111110…
…0111000010100111110000
31121120012101120102001110121
42303002133213002213300
53103034443310204230
642100044451540024
72406616211502154
oct263023747024760
947505346361417
1012303464147440
113a13962840374
1214685b12ba614
136b329a113c7b
143076c2c29064
151650947a877a
hexb309f9c29f0

12303464147440 has 80 divisors (see below), whose sum is σ = 29535163914240. Its totient is φ = 4761526452480.

The previous prime is 12303464147389. The next prime is 12303464147467. The reversal of 12303464147440 is 4474146430321.

12303464147440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 10157691 + ... + 11304229.

It is an arithmetic number, because the mean of its divisors is an integer number (369189548928).

Almost surely, 212303464147440 is an apocalyptic number.

12303464147440 is a gapful number since it is divisible by the number (10) 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 12303464147440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14767581957120).

12303464147440 is an abundant number, since it is smaller than the sum of its proper divisors (17231699766800).

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

12303464147440 is a wasteful number, since it uses less digits than its factorization.

12303464147440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150910 (or 1150904 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 43.

The spelling of 12303464147440 in words is "twelve trillion, three hundred three billion, four hundred sixty-four million, one hundred forty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 4327 8654 17308 21635 34616 43270 69232 86540 134137 173080 268274 346160 536548 670685 1073096 1146539 1341370 2146192 2293078 2682740 4586156 5365480 5732695 9172312 10730960 11465390 18344624 22930780 35542709 45861560 71085418 91723120 142170836 177713545 284341672 355427090 568683344 710854180 1421708360 2843416720 4961074253 9922148506 19844297012 24805371265 39688594024 49610742530 79377188048 99221485060 153793301843 198442970120 307586603686 396885940240 615173207372 768966509215 1230346414744 1537933018430 2460692829488 3075866036860 6151732073720 12303464147440