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1402250430400 = 26523907224317
BaseRepresentation
bin10100011001111100101…
…000111000011111000000
311222001110020120111121221
4110121330220320133000
5140433302102233100
62552103541124424
7203211033665431
oct24317450703700
94861406514557
101402250430400
114a07668a1a26
121a79229b9714
13a2301c147b1
144bc25453488
15267209de01a
hex1467ca387c0

1402250430400 has 84 divisors (see below), whose sum is σ = 3451310987128. Its totient is φ = 560754109440.

The previous prime is 1402250430379. The next prime is 1402250430401. The reversal of 1402250430400 is 40340522041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1402250430401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6139042 + ... + 6363358.

Almost surely, 21402250430400 is an apocalyptic number.

1402250430400 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 1402250430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725655493564).

1402250430400 is an abundant number, since it is smaller than the sum of its proper divisors (2049060556728).

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

1402250430400 is a wasteful number, since it uses less digits than its factorization.

1402250430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228246 (or 228231 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 1402250430400 its reverse (40340522041), we get a palindrome (1442590952441).

The spelling of 1402250430400 in words is "one trillion, four hundred two billion, two hundred fifty million, four hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 3907 7814 15628 19535 31256 39070 62512 78140 97675 125024 156280 195350 224317 250048 312560 390700 448634 625120 781400 897268 1121585 1250240 1562800 1794536 2243170 3125600 3589072 4486340 5607925 6251200 7178144 8972680 11215850 14356288 17945360 22431700 35890720 44863400 71781440 89726800 179453600 358907200 876406519 1752813038 3505626076 4382032595 7011252152 8764065190 14022504304 17528130380 21910162975 28045008608 35056260760 43820325950 56090017216 70112521520 87640651900 140225043040 175281303800 280450086080 350562607600 701125215200 1402250430400