Search a number
-
+
1042331415400 = 2352112916337483
BaseRepresentation
bin11110010101011111100…
…10110011001101101000
310200122102212110010200001
433022233302303031220
5114034143320243100
62114501311352344
7135206641563202
oct17125762631550
93618385403601
101042331415400
11372060a01920
1214a0168226b4
13773a3372532
14386404dd772
151c1a7c77d6a
hexf2afcb3368

1042331415400 has 96 divisors (see below), whose sum is σ = 2734894821600. Its totient is φ = 365959596800.

The previous prime is 1042331415317. The next prime is 1042331415421. The reversal of 1042331415400 is 45141332401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8104942 + ... + 8232541.

It is an arithmetic number, because the mean of its divisors is an integer number (28488487725).

Almost surely, 21042331415400 is an apocalyptic number.

1042331415400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042331415400 is an abundant number, since it is smaller than the sum of its proper divisors (1692563406200).

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

1042331415400 is a wasteful number, since it uses less digits than its factorization.

1042331415400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16337539 (or 16337530 counting only the distinct ones).

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

Adding to 1042331415400 its reverse (45141332401), we get a palindrome (1087472747801).

The spelling of 1042331415400 in words is "one trillion, forty-two billion, three hundred thirty-one million, four hundred fifteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 145 200 220 232 275 290 319 440 550 580 638 725 1100 1160 1276 1450 1595 2200 2552 2900 3190 5800 6380 7975 12760 15950 31900 63800 16337483 32674966 65349932 81687415 130699864 163374830 179712313 326749660 359424626 408437075 473787007 653499320 718849252 816874150 898561565 947574014 1437698504 1633748300 1797123130 1895148028 2368935035 3267496600 3594246260 3790296056 4492807825 4737870070 5211657077 7188492520 8985615650 9475740140 10423314154 11844675175 17971231300 18951480280 20846628308 23689350350 26058285385 35942462600 41693256616 47378700700 52116570770 94757401400 104233141540 130291426925 208466283080 260582853850 521165707700 1042331415400