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424100133342 = 23337347611707
BaseRepresentation
bin1100010101111100101…
…01100111100111011110
31111112200021012222211000
412022332111213213132
523422024113231332
6522455013411130
742432411440304
oct6127625474736
91445607188730
10424100133342
11153950518276
126a23a339aa6
1330cb95c6a82
1416752c26274
15b0725b8b7c
hex62be5679de

424100133342 has 64 divisors (see below), whose sum is σ = 970707191040. Its totient is φ = 137149378848.

The previous prime is 424100133337. The next prime is 424100133397. The reversal of 424100133342 is 243331001424.

424100133342 is a `hidden beast` number, since 424 + 100 + 133 + 3 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387453 + ... + 999159.

It is an arithmetic number, because the mean of its divisors is an integer number (15167299860).

Almost surely, 2424100133342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424100133342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485353595520).

424100133342 is an abundant number, since it is smaller than the sum of its proper divisors (546607057698).

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

424100133342 is a wasteful number, since it uses less digits than its factorization.

424100133342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612102 (or 612096 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 424100133342 its reverse (243331001424), we get a palindrome (667431134766).

The spelling of 424100133342 in words is "four hundred twenty-four billion, one hundred million, one hundred thirty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 347 666 694 999 1041 1998 2082 3123 6246 9369 12839 18738 25678 38517 77034 115551 231102 346653 611707 693306 1223414 1835121 3670242 5505363 11010726 16516089 22633159 33032178 45266318 67899477 135798954 203698431 212262329 407396862 424524658 611095293 636786987 1222190586 1273573974 1910360961 3820721922 5731082883 7853706173 11462165766 15707412346 23561118519 47122237038 70683355557 141366711114 212050066671 424100133342