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1025431341400 = 235219277974189
BaseRepresentation
bin11101110110000000111…
…10001000100101011000
310122000211001222102110101
432323000132020211120
5113300040410411100
62103024320225144
7134041100405344
oct16730036104530
93560731872411
101025431341400
11365979294114
1214689aa6b1b4
137590bc9804b
14378b9bd2624
151ba1923d86a
hexeec0788958

1025431341400 has 96 divisors (see below), whose sum is σ = 2518670826000. Its totient is φ = 387181278720.

The previous prime is 1025431341391. The next prime is 1025431341409. The reversal of 1025431341400 is 41431345201.

It is an interprime number because it is at equal distance from previous prime (1025431341391) and next prime (1025431341409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025431341409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565506 + ... + 1539694.

Almost surely, 21025431341400 is an apocalyptic number.

1025431341400 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 1025431341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259335413000).

1025431341400 is an abundant number, since it is smaller than the sum of its proper divisors (1493239484600).

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

1025431341400 is a wasteful number, since it uses less digits than its factorization.

1025431341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974501 (or 974492 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 1025431341400 its reverse (41431345201), we get a palindrome (1066862686601).

The spelling of 1025431341400 in words is "one trillion, twenty-five billion, four hundred thirty-one million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 277 380 475 554 760 950 1108 1385 1900 2216 2770 3800 5263 5540 6925 10526 11080 13850 21052 26315 27700 42104 52630 55400 105260 131575 210520 263150 526300 974189 1052600 1948378 3896756 4870945 7793512 9741890 18509591 19483780 24354725 37019182 38967560 48709450 74038364 92547955 97418900 148076728 185095910 194837800 269850353 370191820 462739775 539700706 740383640 925479550 1079401412 1349251765 1850959100 2158802824 2698503530 3701918200 5127156707 5397007060 6746258825 10254313414 10794014120 13492517650 20508626828 25635783535 26985035300 41017253656 51271567070 53970070600 102543134140 128178917675 205086268280 256357835350 512715670700 1025431341400