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30431320040 = 235111391812749
BaseRepresentation
bin11100010101110110…
…010001011111101000
32220112210220020020102
4130111312101133220
5444310404220130
621551400444532
72125054644452
oct342566213750
986483806212
1030431320040
11119a6761180
125a93479748
132b3c851464
1416898432d2
15bd1927645
hex715d917e8

30431320040 has 128 divisors (see below), whose sum is σ = 75675600000. Its totient is φ = 10921651200.

The previous prime is 30431320009. The next prime is 30431320063. The reversal of 30431320040 is 4002313403.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 30431319994 and 30431320021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11068586 + ... + 11071334.

It is an arithmetic number, because the mean of its divisors is an integer number (591215625).

Almost surely, 230431320040 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 30431320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37837800000).

30431320040 is an abundant number, since it is smaller than the sum of its proper divisors (45244279960).

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

30431320040 is a wasteful number, since it uses less digits than its factorization.

30431320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 30431320040 its reverse (4002313403), we get a palindrome (34433633443).

The spelling of 30431320040 in words is "thirty billion, four hundred thirty-one million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 139 181 220 278 362 440 556 695 724 905 1112 1390 1448 1529 1810 1991 2749 2780 3058 3620 3982 5498 5560 6116 7240 7645 7964 9955 10996 12232 13745 15290 15928 19910 21992 25159 27490 30239 30580 39820 50318 54980 60478 61160 79640 100636 109960 120956 125795 151195 201272 241912 251590 276749 302390 382111 497569 503180 553498 604780 764222 995138 1006360 1106996 1209560 1383745 1528444 1910555 1990276 2213992 2487845 2767490 3056888 3821110 3980552 4203221 4975690 5473259 5534980 7642220 8406442 9951380 10946518 11069960 15284440 16812884 19902760 21016105 21893036 27366295 33625768 42032210 43786072 54732590 69162091 84064420 109465180 138324182 168128840 218930360 276648364 345810455 553296728 691620910 760783001 1383241820 1521566002 2766483640 3043132004 3803915005 6086264008 7607830010 15215660020 30431320040