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4142362632414 = 2317379531151737
BaseRepresentation
bin111100010001111000000…
…011011010000011011110
3112200000011101002202001120
4330101320003122003132
51020332024313214124
612450550343151410
7605163415263426
oct74217003320336
915600141082046
104142362632414
111357847795486
1256a998a45566
13240813cc1a76
141046c4661486
1572b44320d79
hex3c4780da0de

4142362632414 has 64 divisors (see below), whose sum is σ = 9018606090816. Its totient is φ = 1263113478144.

The previous prime is 4142362632389. The next prime is 4142362632433.

4142362632414 is nontrivially palindromic in base 10.

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, 3020754 + ... + 4172490.

It is an arithmetic number, because the mean of its divisors is an integer number (140915720169).

Almost surely, 24142362632414 is an apocalyptic number.

4142362632414 is an abundant number, since it is smaller than the sum of its proper divisors (4876243458402).

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

4142362632414 is a wasteful number, since it uses less digits than its factorization.

4142362632414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152749.

The product of its digits is 663552, while the sum is 42.

The spelling of 4142362632414 in words is "four trillion, one hundred forty-two billion, three hundred sixty-two million, six hundred thirty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 17 34 37 51 74 102 111 222 629 953 1258 1887 1906 2859 3774 5718 16201 32402 35261 48603 70522 97206 105783 211566 599437 1151737 1198874 1798311 2303474 3455211 3596622 6910422 19579529 39159058 42614269 58738587 85228538 117477174 127842807 255685614 724442573 1097605361 1448885146 2173327719 2195210722 3292816083 4346655438 6585632166 18659291137 37318582274 40611398357 55977873411 81222796714 111955746822 121834195071 243668390142 690393772069 1380787544138 2071181316207 4142362632414