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13404061320 = 23351359145633
BaseRepresentation
bin11000111101111000…
…11011111010001000
31021121011002212101120
430132330123322020
5204422414430240
610054023315240
7653110432656
oct143674337210
937534085346
1013404061320
115759274731
122720babb20
131358005a40
149122a9dd6
15536b68ad0
hex31ef1be88

13404061320 has 128 divisors (see below), whose sum is σ = 44039721600. Its totient is φ = 3243515904.

The previous prime is 13404061291. The next prime is 13404061337. The reversal of 13404061320 is 2316040431.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19224 + ... + 164856.

It is an arithmetic number, because the mean of its divisors is an integer number (344060325).

Almost surely, 213404061320 is an apocalyptic number.

13404061320 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 13404061320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22019860800).

13404061320 is an abundant number, since it is smaller than the sum of its proper divisors (30635660280).

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

13404061320 is a wasteful number, since it uses less digits than its factorization.

13404061320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145719 (or 145715 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 13404061320 in words is "thirteen billion, four hundred four million, sixty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 59 60 65 78 104 118 120 130 156 177 195 236 260 295 312 354 390 472 520 590 708 767 780 885 1180 1416 1534 1560 1770 2301 2360 3068 3540 3835 4602 6136 7080 7670 9204 11505 15340 18408 23010 30680 46020 92040 145633 291266 436899 582532 728165 873798 1165064 1456330 1747596 1893229 2184495 2912660 3495192 3786458 4368990 5679687 5825320 7572916 8592347 8737980 9466145 11359374 15145832 17184694 17475960 18932290 22718748 25777041 28398435 34369388 37864580 42961735 45437496 51554082 56796870 68738776 75729160 85923470 103108164 111700511 113593740 128885205 171846940 206216328 223401022 227187480 257770410 335101533 343693880 446802044 515540820 558502555 670203066 893604088 1031081640 1117005110 1340406132 1675507665 2234010220 2680812264 3351015330 4468020440 6702030660 13404061320