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40410601404 = 223431072413037
BaseRepresentation
bin100101101000101010…
…001101011110111100
310212022021200020201220
4211220222031132330
51130230103221104
630321523233340
72630261305305
oct455052153674
9125267606656
1040410601404
1116157804a48
1279b9518850
133a70166384
141d54d317ac
1510b7a917d9
hex968a8d7bc

40410601404 has 96 divisors (see below), whose sum is σ = 97822238976. Its totient is φ = 12975621120.

The previous prime is 40410601403. The next prime is 40410601409.

40410601404 is nontrivially palindromic in base 10.

It is a super-5 number, since 5×404106014045 (a number of 54 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40410601403) 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, 13304574 + ... + 13307610.

It is an arithmetic number, because the mean of its divisors is an integer number (1018981656).

Almost surely, 240410601404 is an apocalyptic number.

It is an amenable number.

40410601404 is an abundant number, since it is smaller than the sum of its proper divisors (57411637572).

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

40410601404 is a wasteful number, since it uses less digits than its factorization.

40410601404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435 (or 3433 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 40410601404 in words is "forty billion, four hundred ten million, six hundred one thousand, four hundred four".

Divisors: 1 2 3 4 6 12 43 86 107 129 172 214 241 258 321 428 482 516 642 723 964 1284 1446 2892 3037 4601 6074 9111 9202 10363 12148 13803 18222 18404 20726 25787 27606 31089 36444 41452 51574 55212 62178 77361 103148 124356 130591 154722 261182 309444 324959 391773 522364 649918 731917 783546 974877 1108841 1299836 1463834 1567092 1949754 2195751 2217682 2927668 3326523 3899508 4391502 4435364 6653046 8783004 13306092 13973237 27946474 31472431 41919711 55892948 62944862 78315119 83839422 94417293 125889724 156630238 167678844 188834586 234945357 313260476 377669172 469890714 939781428 3367550117 6735100234 10102650351 13470200468 20205300702 40410601404