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40443211234404 = 2232113710127329227
BaseRepresentation
bin10010011001000011010110…
…01111010011110001100100
312022012022222221001112021100
421030201223033103301210
520300110144034000104
6222003204343120100
711342632322265666
oct1114415317236144
9168168887045240
1040443211234404
1111982962431440
1246521b9743030
131974a1735b554
149db66751a536
154a2049eb9139
hex24c86b3d3c64

40443211234404 has 144 divisors (see below), whose sum is σ = 115673471798976. Its totient is φ = 11806225632000.

The previous prime is 40443211234343. The next prime is 40443211234429.

40443211234404 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 3 + 2 + 11 + 234 + 404 = 666.

40443211234404 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12184762 + ... + 15144465.

It is an arithmetic number, because the mean of its divisors is an integer number (803287998604).

Almost surely, 240443211234404 is an apocalyptic number.

40443211234404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40443211234404 is an abundant number, since it is smaller than the sum of its proper divisors (75230260564572).

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

40443211234404 is a wasteful number, since it uses less digits than its factorization.

40443211234404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27329386 (or 27329381 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 4044321 and 1234404, that added together give a palindrome (5278725).

The spelling of 40443211234404 in words is "forty trillion, four hundred forty-three billion, two hundred eleven million, two hundred thirty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 101 111 132 148 198 202 222 303 333 396 404 407 444 606 666 814 909 1111 1212 1221 1332 1628 1818 2222 2442 3333 3636 3663 3737 4444 4884 6666 7326 7474 9999 11211 13332 14652 14948 19998 22422 33633 39996 41107 44844 67266 82214 123321 134532 164428 246642 369963 493284 739926 1479852 27329227 54658454 81987681 109316908 163975362 245963043 300621497 327950724 491926086 601242994 901864491 983852172 1011181399 1202485988 1803728982 2022362798 2705593473 2760251927 3033544197 3607457964 4044725596 5411186946 5520503854 6067088394 8280755781 9100632591 10822373892 11041007708 11122995389 12134176788 16561511562 18201265182 22245990778 24842267343 30362771197 33123023124 33368986167 36402530364 44491981556 49684534686 60725542394 66737972334 91088313591 99369069372 100106958501 102129321299 121451084788 133475944668 182176627182 200213917002 204258642598 273264940773 306387963897 364353254364 400427834004 408517285196 546529881546 612775927794 919163891691 1093059763092 1123422534289 1225551855588 1838327783382 2246845068578 3370267602867 3676655566764 4493690137156 6740535205734 10110802808601 13481070411468 20221605617202 40443211234404