Search a number
-
+
30431023431000 = 2335319541519097
BaseRepresentation
bin1101110101101010001100…
…10101110111110101011000
310222202011210100022201020220
412322311012111313311120
512442040213444243000
6144415452535120040
76260366062166013
oct672650625676530
9128664710281226
1030431023431000
1197727a7434325
1234b58a0213020
1313c983019484a
14772c2588437a
1537b8aa0aa1a0
hex1bad46577d58

30431023431000 has 128 divisors (see below), whose sum is σ = 94949834765760. Its totient is φ = 8114508672000.

The previous prime is 30431023430987. The next prime is 30431023431001. The reversal of 30431023431000 is 13432013403.

It is a super-2 number, since 2×304310234310002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30431023431001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58363452 + ... + 58882548.

Almost surely, 230431023431000 is an apocalyptic number.

30431023431000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30431023431000 is an abundant number, since it is smaller than the sum of its proper divisors (64518811334760).

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

30431023431000 is a wasteful number, since it uses less digits than its factorization.

30431023431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538662 (or 538648 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 30431023431000 its reverse (13432013403), we get a palindrome (30444455444403).

The spelling of 30431023431000 in words is "thirty trillion, four hundred thirty-one billion, twenty-three million, four hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 19541 39082 58623 78164 97705 117246 156328 195410 234492 293115 390820 468984 488525 519097 586230 781640 977050 1038194 1172460 1465575 1557291 1954100 2076388 2344920 2442625 2595485 2931150 3114582 3908200 4152776 4885250 5190970 5862300 6229164 7327875 7786455 9770500 10381940 11724600 12458328 12977425 14655750 15572910 19541000 20763880 25954850 29311500 31145820 38932275 51909700 58623000 62291640 64887125 77864550 103819400 129774250 155729100 194661375 259548500 311458200 389322750 519097000 778645500 1557291000 10143674477 20287348954 30431023431 40574697908 50718372385 60862046862 81149395816 101436744770 121724093724 152155117155 202873489540 243448187448 253591861925 304310234310 405746979080 507183723850 608620468620 760775585775 1014367447700 1217240937240 1267959309625 1521551171550 2028734895400 2535918619250 3043102343100 3803877928875 5071837238500 6086204686200 7607755857750 10143674477000 15215511715500 30431023431000