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13044313410420 = 2235419835394269
BaseRepresentation
bin1011110111010001110110…
…1010101100101101110100
31201012000122122000000111110
42331310131222230231310
53202204223213113140
643424250322435020
72514264150360645
oct275643552545564
951160578000443
1013044313410420
11417a075945936
1215680aa202a70
137380c5574126
143314c340b6cc
151794a4ba1380
hexbdd1daacb74

13044313410420 has 96 divisors (see below), whose sum is σ = 37452977614080. Its totient is φ = 3390189552640.

The previous prime is 13044313410371. The next prime is 13044313410433. The reversal of 13044313410420 is 2401431344031.

It is a super-2 number, since 2×130443134104202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278955 + ... + 5115314.

It is an arithmetic number, because the mean of its divisors is an integer number (390135183480).

Almost surely, 213044313410420 is an apocalyptic number.

13044313410420 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 13044313410420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18726488807040).

13044313410420 is an abundant number, since it is smaller than the sum of its proper divisors (24408664203660).

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

13044313410420 is a wasteful number, since it uses less digits than its factorization.

13044313410420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5395305 (or 5395303 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13044313410420 its reverse (2401431344031), we get a palindrome (15445744754451).

The spelling of 13044313410420 in words is "thirteen trillion, forty-four billion, three hundred thirteen million, four hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 983 1230 1966 2460 2949 3932 4915 5898 9830 11796 14745 19660 29490 40303 58980 80606 120909 161212 201515 241818 403030 483636 604545 806060 1209090 2418180 5394269 10788538 16182807 21577076 26971345 32365614 53942690 64731228 80914035 107885380 161828070 221165029 323656140 442330058 663495087 884660116 1105825145 1326990174 2211650290 2653980348 3317475435 4423300580 5302566427 6634950870 10605132854 13269901740 15907699281 21210265708 26512832135 31815398562 53025664270 63630797124 79538496405 106051328540 159076992810 217405223507 318153985620 434810447014 652215670521 869620894028 1087026117535 1304431341042 2174052235070 2608862682084 3261078352605 4348104470140 6522156705210 13044313410420