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13044342320400 = 2435229374837423
BaseRepresentation
bin1011110111010001111101…
…1000111110110100010000
31201012000201122101210112110
42331310133120332310100
53202204303113223100
643424253234225320
72514264651166416
oct275643730766420
951160648353473
1013044342320400
11417a0901a1386
1215680b7a25240
137380cb556c21
143314c71b52b6
151794a74b2250
hexbdd1f63ed10

13044342320400 has 120 divisors (see below), whose sum is σ = 43226251735680. Its totient is φ = 3358543301120.

The previous prime is 13044342320351. The next prime is 13044342320441. The reversal of 13044342320400 is 402324344031.

It is a happy number.

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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187383912 + ... + 187453511.

It is an arithmetic number, because the mean of its divisors is an integer number (360218764464).

Almost surely, 213044342320400 is an apocalyptic number.

13044342320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13044342320400 is an abundant number, since it is smaller than the sum of its proper divisors (30181909415280).

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

13044342320400 is a wasteful number, since it uses less digits than its factorization.

13044342320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374837473 (or 374837462 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 13044342320400 its reverse (402324344031), we get a palindrome (13446666664431).

The spelling of 13044342320400 in words is "thirteen trillion, forty-four billion, three hundred forty-two million, three hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 145 150 174 200 232 240 290 300 348 400 435 464 580 600 696 725 870 1160 1200 1392 1450 1740 2175 2320 2900 3480 4350 5800 6960 8700 11600 17400 34800 374837423 749674846 1124512269 1499349692 1874187115 2249024538 2998699384 3748374230 4498049076 5622561345 5997398768 7496748460 8996098152 9370935575 10870285267 11245122690 14993496920 17992196304 18741871150 21740570534 22490245380 28112806725 29986993840 32610855801 37483742300 43481141068 44980490760 54351426335 56225613450 65221711602 74967484600 86962282136 89960981520 108702852670 112451226900 130443423204 149934969200 163054279005 173924564272 217405705340 224902453800 260886846408 271757131675 326108558010 434811410680 449804907600 521773692816 543514263350 652217116020 815271395025 869622821360 1087028526700 1304434232040 1630542790050 2174057053400 2608868464080 3261085580100 4348114106800 6522171160200 13044342320400