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4045240654136 = 23114744911631873
BaseRepresentation
bin111010110111011011001…
…000011101100100111000
3112022201110202222001101222
4322313123020131210320
51012234123101413021
612334205150131212
7565154556140003
oct72673310354470
915281422861358
104045240654136
11131a638987730
12553bb2ab0b08
13234606829376
14ddb0d93453a
157035cad36ab
hex3addb21d938

4045240654136 has 128 divisors (see below), whose sum is σ = 8481034368000. Its totient is φ = 1793113620480.

The previous prime is 4045240654087. The next prime is 4045240654157. The reversal of 4045240654136 is 6314560425404.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2159764496 + ... + 2159766368.

It is an arithmetic number, because the mean of its divisors is an integer number (66258081000).

Almost surely, 24045240654136 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 4045240654136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240517184000).

4045240654136 is an abundant number, since it is smaller than the sum of its proper divisors (4435793713864).

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

4045240654136 is a wasteful number, since it uses less digits than its factorization.

4045240654136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3549 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 44.

The spelling of 4045240654136 in words is "four trillion, forty-five billion, two hundred forty million, six hundred fifty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 376 449 517 898 1034 1163 1796 1873 2068 2326 3592 3746 4136 4652 4939 7492 9304 9878 12793 14984 19756 20603 21103 25586 39512 41206 42206 51172 54661 82412 84412 88031 102344 109322 164824 168824 176062 218644 232133 352124 437288 464266 522187 601271 704248 840977 928532 968341 1044374 1202542 1681954 1857064 1936682 2088748 2178299 2405084 3363908 3873364 4177496 4356598 4810168 5744057 6727816 7746728 8713196 9250747 11488114 17426392 18501494 22976228 23961289 24542789 37002988 39525919 45952456 47922578 49085578 74005976 79051838 95845156 98171156 102380053 158103676 191690312 196342312 204760106 269970679 316207352 409520212 434785109 539941358 819040424 869570218 978056251 1079882716 1126180583 1739140436 1956112502 2159765432 2252361166 3478280872 3912225004 4504722332 7824450008 9009444664 10758618761 21517237522 43034475044 45968643797 86068950088 91937287594 183874575188 367749150376 505655081767 1011310163534 2022620327068 4045240654136