Search a number
-
+
31404421432400 = 2452313250834037
BaseRepresentation
bin1110010001111111010010…
…11000100100010001010000
311010012020022010101120222112
413020333221120210101100
513104012223341314100
6150442554140324452
76420615560530562
oct710775130442120
9133166263346875
1031404421432400
11a0085a4206a05
123632479243728
13146a5690714c3
147a7da6c8d332
15396d7b1a7b35
hex1c8fe9624450

31404421432400 has 60 divisors (see below), whose sum is σ = 75690174302652. Its totient is φ = 12521635077120.

The previous prime is 31404421432369. The next prime is 31404421432469. The reversal of 31404421432400 is 423412440413.

It can be written as a sum of positive squares in 6 ways, for example, as 1180551787024 + 30223869645376 = 1086532^2 + 5497624^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125291819 + ... + 125542218.

Almost surely, 231404421432400 is an apocalyptic number.

It is an amenable number.

31404421432400 is an abundant number, since it is smaller than the sum of its proper divisors (44285752870252).

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

31404421432400 is a wasteful number, since it uses less digits than its factorization.

31404421432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250834368 (or 250834357 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 31404421432400 its reverse (423412440413), we get a palindrome (31827833872813).

The spelling of 31404421432400 in words is "thirty-one trillion, four hundred four billion, four hundred twenty-one million, four hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 313 400 626 1252 1565 2504 3130 5008 6260 7825 12520 15650 25040 31300 62600 125200 250834037 501668074 1003336148 1254170185 2006672296 2508340370 4013344592 5016680740 6270850925 10033361480 12541701850 20066722960 25083403700 50166807400 78511053581 100333614800 157022107162 314044214324 392555267905 628088428648 785110535810 1256176857296 1570221071620 1962776339525 3140442143240 3925552679050 6280884286480 7851105358100 15702210716200 31404421432400