Search a number
-
+
1023233432004 = 223274060450127
BaseRepresentation
bin11101110001111010111…
…01110001100111000100
310121211010220020001120200
432320331131301213010
5113231040224311004
62102022243330500
7133632451444260
oct16707535614704
93554126201520
101023233432004
11364a50662273
12146386980a30
137564b819144
143774bd3b0a0
151b93b2d6239
hexee3d7719c4

1023233432004 has 36 divisors (see below), whose sum is σ = 2956007693184. Its totient is φ = 292352409072.

The previous prime is 1023233431991. The next prime is 1023233432029. The reversal of 1023233432004 is 4002343323201.

1023233432004 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 2 + 334 + 320 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 2030224812 + ... + 2030225315.

Almost surely, 21023233432004 is an apocalyptic number.

1023233432004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1023233432004 is an abundant number, since it is smaller than the sum of its proper divisors (1932774261180).

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

1023233432004 is a wasteful number, since it uses less digits than its factorization.

1023233432004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060450144 (or 4060450139 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 1023233432004 its reverse (4002343323201), we get a palindrome (5025576755205).

The spelling of 1023233432004 in words is "one trillion, twenty-three billion, two hundred thirty-three million, four hundred thirty-two thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 4060450127 8120900254 12181350381 16241800508 24362700762 28423150889 36544051143 48725401524 56846301778 73088102286 85269452667 113692603556 146176204572 170538905334 255808358001 341077810668 511616716002 1023233432004