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1400304000400 = 2452113251123427
BaseRepresentation
bin10100011000001000100…
…111110101110110010000
311221212102121000121121221
4110120020213311312100
5140420310311003100
62551142450254424
7203111560420414
oct24301047656620
94855377017557
101400304000400
1149a958114298
121a747ab87414
13a20818a5776
144babcb40d44
1526659bae01a
hex146089f5d90

1400304000400 has 120 divisors (see below), whose sum is σ = 3407551840224. Its totient is φ = 552948480000.

The previous prime is 1400304000391. The next prime is 1400304000419. The reversal of 1400304000400 is 40004030041.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 11283487 + ... + 11406913.

Almost surely, 21400304000400 is an apocalyptic number.

1400304000400 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 1400304000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703775920112).

1400304000400 is an abundant number, since it is smaller than the sum of its proper divisors (2007247839824).

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

1400304000400 is a wasteful number, since it uses less digits than its factorization.

1400304000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123809 (or 123798 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 1400304000400 its reverse (40004030041), we get a palindrome (1440308030441).

The spelling of 1400304000400 in words is "one trillion, four hundred billion, three hundred four million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 200 226 251 400 452 502 565 904 1004 1130 1255 1808 2008 2260 2510 2825 4016 4520 5020 5650 6275 9040 10040 11300 12550 20080 22600 25100 28363 45200 50200 56726 100400 113452 123427 141815 226904 246854 283630 453808 493708 567260 617135 709075 987416 1134520 1234270 1418150 1974832 2269040 2468540 2836300 3085675 4937080 5672600 6171350 9874160 11345200 12342700 13947251 24685400 27894502 30980177 49370800 55789004 61960354 69736255 111578008 123920708 139472510 154900885 223156016 247841416 278945020 309801770 348681275 495682832 557890040 619603540 697362550 774504425 1115780080 1239207080 1394725100 1549008850 2478414160 2789450200 3098017700 3500760001 5578900400 6196035400 7001520002 12392070800 14003040004 17503800005 28006080008 35007600010 56012160016 70015200020 87519000025 140030400040 175038000050 280060800080 350076000100 700152000200 1400304000400