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20004214334004 = 223229139137849819
BaseRepresentation
bin1001000110001100110000…
…00101101110001000110100
32121211101101002110212002100
410203012120011232020310
510110222112332142004
6110313450441542100
74133154036202635
oct443063005561064
977741332425070
1020004214334004
1164128155345aa
1222b0b4aaa4930
13b2150a43abb4
144d22cdc4588c
1524a54ed47739
hex12319816e234

20004214334004 has 72 divisors (see below), whose sum is σ = 52686201204000. Its totient is φ = 6391820361024.

The previous prime is 20004214333997. The next prime is 20004214334017. The reversal of 20004214334004 is 40043341240002.

It is a happy number.

20004214334004 is a `hidden beast` number, since 200 + 0 + 4 + 21 + 4 + 33 + 400 + 4 = 666.

It is a super-2 number, since 2×200042143340042 (a number of 27 digits) contains 22 as substring.

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, 68779794 + ... + 69070025.

It is an arithmetic number, because the mean of its divisors is an integer number (731752794500).

Almost surely, 220004214334004 is an apocalyptic number.

It is an amenable number.

20004214334004 is an abundant number, since it is smaller than the sum of its proper divisors (32681986869996).

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

20004214334004 is a wasteful number, since it uses less digits than its factorization.

20004214334004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137849997 (or 137849992 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 20004214334004 its reverse (40043341240002), we get a palindrome (60047555574006).

The spelling of 20004214334004 in words is "twenty trillion, four billion, two hundred fourteen million, three hundred thirty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 139 174 261 278 348 417 522 556 834 1044 1251 1668 2502 4031 5004 8062 12093 16124 24186 36279 48372 72558 145116 137849819 275699638 413549457 551399276 827098914 1240648371 1654197828 2481296742 3997644751 4962593484 7995289502 11992934253 15990579004 19161124841 23985868506 35978802759 38322249682 47971737012 57483374523 71957605518 76644499364 114966749046 143915211036 172450123569 229933498092 344900247138 555672620389 689800494276 1111345240778 1667017861167 2222690481556 3334035722334 5001053583501 6668071444668 10002107167002 20004214334004