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1043320000400 = 24527335730137
BaseRepresentation
bin11110010111010101011…
…01111100111110010000
310200201222202122110100022
433023222231330332100
5114043204410003100
62115143344243012
7135243304452206
oct17135255747620
93621882573308
101043320000400
11372518a39417
1214a251910468
1377500113a82
14386d5919076
151c214951e85
hexf2eab7cf90

1043320000400 has 60 divisors (see below), whose sum is σ = 2540913033732. Its totient is φ = 411611166720.

The previous prime is 1043320000391. The next prime is 1043320000441. The reversal of 1043320000400 is 40000233401.

It can be written as a sum of positive squares in 6 ways, for example, as 33785380864 + 1009534619536 = 183808^2 + 1004756^2 .

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, 17835869 + ... + 17894268.

Almost surely, 21043320000400 is an apocalyptic number.

1043320000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1043320000400 is an abundant number, since it is smaller than the sum of its proper divisors (1497593033332).

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

1043320000400 is a wasteful number, since it uses less digits than its factorization.

1043320000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35730228 (or 35730217 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 1043320000400 its reverse (40000233401), we get a palindrome (1083320233801).

The spelling of 1043320000400 in words is "one trillion, forty-three billion, three hundred twenty million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 146 200 292 365 400 584 730 1168 1460 1825 2920 3650 5840 7300 14600 29200 35730137 71460274 142920548 178650685 285841096 357301370 571682192 714602740 893253425 1429205480 1786506850 2608300001 2858410960 3573013700 5216600002 7146027400 10433200004 13041500005 14292054800 20866400008 26083000010 41732800016 52166000020 65207500025 104332000040 130415000050 208664000080 260830000100 521660000200 1043320000400