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1342214134524 = 2233107161971741
BaseRepresentation
bin10011100010000010001…
…100100101101011111100
311202022111012200200022000
4103202002030211223330
5133442323304301044
62504334335022300
7165654213621024
oct23420214455374
94668435620260
101342214134524
1147825898427a
1219816896a990
1399754ab9a73
1448d6bc32a84
1524da9ebbd69
hex13882325afc

1342214134524 has 96 divisors (see below), whose sum is σ = 3514554489600. Its totient is φ = 442943421120.

The previous prime is 1342214134517. The next prime is 1342214134529. The reversal of 1342214134524 is 4254314122431.

1342214134524 is a `hidden beast` number, since 1 + 3 + 42 + 21 + 41 + 34 + 524 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342214134529) by changing a digit.

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, 18673294 + ... + 18745034.

It is an arithmetic number, because the mean of its divisors is an integer number (36609942600).

Almost surely, 21342214134524 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 1342214134524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757277244800).

1342214134524 is an abundant number, since it is smaller than the sum of its proper divisors (2172340355076).

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

1342214134524 is a wasteful number, since it uses less digits than its factorization.

1342214134524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73480 (or 73472 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 1342214134524 its reverse (4254314122431), we get a palindrome (5596528256955).

The spelling of 1342214134524 in words is "one trillion, three hundred forty-two billion, two hundred fourteen million, one hundred thirty-four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 428 642 963 1284 1619 1926 2889 3238 3852 4857 5778 6476 9714 11556 14571 19428 29142 43713 58284 71741 87426 143482 173233 174852 215223 286964 346466 430446 519699 645669 692932 860892 1039398 1291338 1559097 1937007 2078796 2582676 3118194 3874014 4677291 6236388 7676287 7748028 9354582 15352574 18709164 23028861 30705148 46057722 69086583 92115444 116148679 138173166 207259749 232297358 276346332 348446037 414519498 464594716 696892074 829038996 1045338111 1393784148 2090676222 3136014333 4181352444 6272028666 12427908653 12544057332 24855817306 37283725959 49711634612 74567451918 111851177877 149134903836 223702355754 335553533631 447404711508 671107067262 1342214134524