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214431523040 = 2557901121247
BaseRepresentation
bin1100011110110100011…
…1010110000011100000
3202111111002202000101202
43013231013112003200
512003123432214130
6242301455420332
721330545605130
oct3075507260340
9674432660352
10214431523040
1182a38006049
12356848246a8
13172b4158917
14a542a06ac0
1558a03e6145
hex31ed1d60e0

214431523040 has 96 divisors (see below), whose sum is σ = 579056615424. Its totient is φ = 73507760640.

The previous prime is 214431523039. The next prime is 214431523043. The reversal of 214431523040 is 40325134412.

It is a junction number, because it is equal to n+sod(n) for n = 214431522994 and 214431523012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214431523043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10081697 + ... + 10102943.

It is an arithmetic number, because the mean of its divisors is an integer number (6031839744).

Almost surely, 2214431523040 is an apocalyptic number.

214431523040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214431523040 is an abundant number, since it is smaller than the sum of its proper divisors (364625092384).

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

214431523040 is a wasteful number, since it uses less digits than its factorization.

214431523040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30280 (or 30272 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 214431523040 its reverse (40325134412), we get a palindrome (254756657452).

The spelling of 214431523040 in words is "two hundred fourteen billion, four hundred thirty-one million, five hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 9011 18022 21247 36044 42494 45055 63077 72088 84988 90110 106235 126154 144176 148729 169976 180220 212470 252308 288352 297458 315385 339952 360440 424940 504616 594916 630770 679904 720880 743645 849880 1009232 1189832 1261540 1441760 1487290 1699760 2018464 2379664 2523080 2974580 3399520 4759328 5046160 5949160 10092320 11898320 23796640 191456717 382913434 765826868 957283585 1340197019 1531653736 1914567170 2680394038 3063307472 3829134340 5360788076 6126614944 6700985095 7658268680 10721576152 13401970190 15316537360 21443152304 26803940380 30633074720 42886304608 53607880760 107215761520 214431523040