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141324434442400 = 25521128157151583
BaseRepresentation
bin100000001000100010101000…
…101101101000100010100000
3200112101111001211022021110111
4200020202220231220202200
5122010424420204124100
61220323314321341104
741524232142223036
oct4010425055504240
9615344054267414
10141324434442400
11410373a0a16690
1213a25757197794
1360b1ab5b14781
1426c81d3a80556
15115128d61b6ba
hex8088a8b688a0

141324434442400 has 144 divisors (see below), whose sum is σ = 377712075379968. Its totient is φ = 51207817472000.

The previous prime is 141324434442379. The next prime is 141324434442439. The reversal of 141324434442400 is 4244434423141.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 26102992 + ... + 31048591.

It is an arithmetic number, because the mean of its divisors is an integer number (2623000523472).

Almost surely, 2141324434442400 is an apocalyptic number.

141324434442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141324434442400 is an abundant number, since it is smaller than the sum of its proper divisors (236387640937568).

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

141324434442400 is a wasteful number, since it uses less digits than its factorization.

141324434442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57151895 (or 57151882 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

Adding to 141324434442400 its reverse (4244434423141), we get a palindrome (145568868865541).

The spelling of 141324434442400 in words is "one hundred forty-one trillion, three hundred twenty-four billion, four hundred thirty-four million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 281 352 400 440 550 562 800 880 1100 1124 1405 1760 2200 2248 2810 3091 4400 4496 5620 6182 7025 8800 8992 11240 12364 14050 15455 22480 24728 28100 30910 44960 49456 56200 61820 77275 98912 112400 123640 154550 224800 247280 309100 494560 618200 1236400 2472800 57151583 114303166 228606332 285757915 457212664 571515830 628667413 914425328 1143031660 1257334826 1428789575 1828850656 2286063320 2514669652 2857579150 3143337065 4572126640 5029339304 5715158300 6286674130 9144253280 10058678608 11430316600 12573348260 15716685325 16059594823 20117357216 22860633200 25146696520 31433370650 32119189646 45721266400 50293393040 62866741300 64238379292 80297974115 100586786080 125733482600 128476758584 160595948230 176655543053 251466965200 256953517168 321191896460 353311086106 401489870575 502933930400 513907034336 642383792920 706622172212 802979741150 883277715265 1284767585840 1413244344424 1605959482300 1766555430530 2569535171680 2826488688848 3211918964600 3533110861060 4416388576325 5652977377696 6423837929200 7066221722120 8832777152650 12847675858400 14132443444240 17665554305300 28264886888480 35331108610600 70662217221200 141324434442400