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13403244442320 = 2432546237402613
BaseRepresentation
bin1100001100001010111110…
…0111111011001011010000
31202110100010011001122102200
43003002233213323023100
53224044321034123240
644301210540243200
72552231614662045
oct303025747731320
952410104048380
1013403244442320
1142a831407a687
12160577b540500
13762bc7525ac5
14344a130611cc
151839b0d0b930
hexc30af9fb2d0

13403244442320 has 120 divisors (see below), whose sum is σ = 45013647907176. Its totient is φ = 3574112338944.

The previous prime is 13403244442249. The next prime is 13403244442333. The reversal of 13403244442320 is 2324444230431.

13403244442320 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 324 + 4 + 4 + 4 + 2 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2510234634384 + 10893009807936 = 1584372^2 + 3300456^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33089334 + ... + 33491946.

Almost surely, 213403244442320 is an apocalyptic number.

13403244442320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13403244442320 is an abundant number, since it is smaller than the sum of its proper divisors (31610403464856).

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

13403244442320 is a wasteful number, since it uses less digits than its factorization.

13403244442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448869 (or 448860 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 13403244442320 its reverse (2324444230431), we get a palindrome (15727688672751).

The spelling of 13403244442320 in words is "thirteen trillion, four hundred three billion, two hundred forty-four million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 46237 92474 138711 184948 231185 277422 369896 402613 416133 462370 554844 693555 739792 805226 832266 924740 1109688 1207839 1387110 1610452 1664532 1849480 2013065 2080665 2219376 2415678 2774220 3220904 3329064 3623517 3698960 4026130 4161330 4831356 5548440 6039195 6441808 6658128 7247034 8052260 8322660 9662712 11096880 12078390 14494068 16104520 16645320 18117585 19325424 24156780 28988136 32209040 33290640 36235170 48313560 57976272 72470340 96627120 144940680 289881360 18615617281 37231234562 55846851843 74462469124 93078086405 111693703686 148924938248 167540555529 186156172810 223387407372 279234259215 297849876496 335081111058 372312345620 446774814744 558468518430 670162222116 744624691240 837702777645 893549629488 1116937036860 1340324444232 1489249382480 1675405555290 2233874073720 2680648888464 3350811110580 4467748147440 6701622221160 13403244442320