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1424400212300 = 2252132957166169
BaseRepresentation
bin10100101110100100110…
…111100110000101001100
312001011121220022000020112
4110232210313212011030
5141314132423243200
63010205503535152
7204623652015152
oct24564467460514
95034556260215
101424400212300
114aa0a28709aa
121b00848ba4b8
13a4421aba310
144cd270633d2
15270ba357535
hex14ba4de614c

1424400212300 has 144 divisors (see below), whose sum is σ = 3449579733600. Its totient is φ = 506899814400.

The previous prime is 1424400212297. The next prime is 1424400212309. The reversal of 1424400212300 is 32120044241.

It is not an unprimeable number, because it can be changed into a prime (1424400212309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21493616 + ... + 21559784.

Almost surely, 21424400212300 is an apocalyptic number.

1424400212300 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 1424400212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724789866800).

1424400212300 is an abundant number, since it is smaller than the sum of its proper divisors (2025179521300).

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

1424400212300 is a wasteful number, since it uses less digits than its factorization.

1424400212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66796 (or 66789 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 1424400212300 its reverse (32120044241), we get a palindrome (1456520256541).

The spelling of 1424400212300 in words is "one trillion, four hundred twenty-four billion, four hundred million, two hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 29 50 52 58 65 100 116 130 145 260 290 325 377 571 580 650 725 754 1142 1300 1450 1508 1885 2284 2855 2900 3770 5710 7423 7540 9425 11420 14275 14846 16559 18850 28550 29692 33118 37115 37700 57100 66169 66236 74230 82795 132338 148460 165590 185575 215267 264676 330845 331180 371150 413975 430534 661690 742300 827950 860197 861068 1076335 1323380 1654225 1655900 1720394 1918901 2152670 3308450 3440788 3837802 4300985 4305340 5381675 6616900 7675604 8601970 9594505 10763350 17203940 19189010 21504925 21526700 24945713 37782499 38378020 43009850 47972525 49891426 75564998 86019700 95945050 99782852 124728565 151129996 188912495 191890100 249457130 377824990 491172487 498914260 623642825 755649980 944562475 982344974 1095692471 1247285650 1889124950 1964689948 2191384942 2455862435 2494571300 3778249900 4382769884 4911724870 5478462355 9823449740 10956924710 12279312175 14244002123 21913849420 24558624350 27392311775 28488004246 49117248700 54784623550 56976008492 71220010615 109569247100 142440021230 284880042460 356100053075 712200106150 1424400212300