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40453435404 = 223237832391531
BaseRepresentation
bin100101101011001101…
…100111000000001100
310212102021021102221100
4211223031213000030
51130322034413104
630330053303100
72631321345624
oct455315470014
9125367242840
1040453435404
1116179a00848
127a0b934a90
133a78cb2b35
141d5a8c1884
1510bb703139
hex96b36700c

40453435404 has 144 divisors (see below), whose sum is σ = 106800744960. Its totient is φ = 12899295360.

The previous prime is 40453435403. The next prime is 40453435417.

40453435404 is a `hidden beast` number, since 40 + 45 + 34 + 3 + 540 + 4 = 666.

40453435404 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40453435403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26422119 + ... + 26423649.

It is an arithmetic number, because the mean of its divisors is an integer number (741671840).

Almost surely, 240453435404 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 40453435404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53400372480).

40453435404 is an abundant number, since it is smaller than the sum of its proper divisors (66347309556).

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

40453435404 is a wasteful number, since it uses less digits than its factorization.

40453435404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 40453435404 in words is "forty billion, four hundred fifty-three million, four hundred thirty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 83 111 148 166 222 239 249 332 333 444 478 498 666 717 747 956 996 1332 1434 1494 1531 2151 2868 2988 3062 3071 4302 4593 6124 6142 8604 8843 9186 9213 12284 13779 17686 18372 18426 19837 26529 27558 27639 35372 36852 39674 53058 55116 55278 56647 59511 79348 79587 106116 110556 113294 119022 127073 159174 169941 178533 226588 238044 254146 318348 339882 357066 365909 381219 508292 509823 679764 714132 731818 733969 762438 1019646 1097727 1143657 1463636 1467938 1524876 2039292 2195454 2201907 2287314 2935876 3293181 4390908 4403814 4574628 4701701 6586362 6605721 8807628 9403402 13172724 13211442 13538633 14105103 18806804 26422884 27077266 28210206 30370447 40615899 42315309 54154532 56420412 60740894 81231798 84630618 91111341 121481788 121847697 162463596 169261236 182222682 243695394 273334023 364445364 487390788 546668046 1093336092 1123706539 2247413078 3371119617 4494826156 6742239234 10113358851 13484478468 20226717702 40453435404