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1430024001032 = 23111091039143489
BaseRepresentation
bin10100110011110100000…
…100101001011000001000
312001201010211110002002002
4110303310010221120020
5141412142121013112
63012535521130132
7205213220310524
oct24636404513010
95051124402062
101430024001032
115015192a4690
121b1194189948
13a4b09c53563
144d2dbd00d84
15272e8e2a1c2
hex14cf4129608

1430024001032 has 64 divisors (see below), whose sum is σ = 2954746080000. Its totient is φ = 643423150080.

The previous prime is 1430024001017. The next prime is 1430024001053. The reversal of 1430024001032 is 2301004200341.

It is a junction number, because it is equal to n+sod(n) for n = 1430024000995 and 1430024001013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9894344 + ... + 10037832.

It is an arithmetic number, because the mean of its divisors is an integer number (46167907500).

Almost surely, 21430024001032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1430024001032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477373040000).

1430024001032 is an abundant number, since it is smaller than the sum of its proper divisors (1524722078968).

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

1430024001032 is a wasteful number, since it uses less digits than its factorization.

1430024001032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144654 (or 144650 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1430024001032 its reverse (2301004200341), we get a palindrome (3731028201373).

The spelling of 1430024001032 in words is "one trillion, four hundred thirty billion, twenty-four million, one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 109 218 436 872 1039 1199 2078 2398 4156 4796 8312 9592 11429 22858 45716 91432 113251 143489 226502 286978 453004 573956 906008 1147912 1245761 1578379 2491522 3156758 4983044 6313516 9966088 12627032 15640301 31280602 62561204 125122408 149085071 172043311 298170142 344086622 596340284 688173244 1192680568 1376346488 1639935781 3279871562 6559743124 13119486248 16250272739 32500545478 65001090956 130002181912 178753000129 357506000258 715012000516 1430024001032