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1414413410100 = 223527396379853
BaseRepresentation
bin10100100101010001100…
…110111101111100110100
312000012211220100220002120
4110211101212331330310
5141133204313110400
63001434512035540
7204121324421565
oct24452146757464
95005756326076
101414413410100
114a5938550669
121aa158232bb0
13a34bca710c2
144c65a97816c
1526bd3704ca0
hex149519bdf34

1414413410100 has 72 divisors (see below), whose sum is σ = 4097907821280. Its totient is φ = 376666462080.

The previous prime is 1414413410071. The next prime is 1414413410149. The reversal of 1414413410100 is 10143144141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2968227 + ... + 3411626.

Almost surely, 21414413410100 is an apocalyptic number.

1414413410100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414413410100 is an abundant number, since it is smaller than the sum of its proper divisors (2683494411180).

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

1414413410100 is a wasteful number, since it uses less digits than its factorization.

1414413410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6380609 (or 6380602 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1414413410100 its reverse (10143144141), we get a palindrome (1424556554241).

The spelling of 1414413410100 in words is "one trillion, four hundred fourteen billion, four hundred thirteen million, four hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 739 1478 2217 2956 3695 4434 7390 8868 11085 14780 18475 22170 36950 44340 55425 73900 110850 221700 6379853 12759706 19139559 25519412 31899265 38279118 63798530 76558236 95697795 127597060 159496325 191395590 318992650 382791180 478488975 637985300 956977950 1913955900 4714711367 9429422734 14144134101 18858845468 23573556835 28288268202 47147113670 56576536404 70720670505 94294227340 117867784175 141441341010 235735568350 282882682020 353603352525 471471136700 707206705050 1414413410100