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40320420234024 = 23371093721944089
BaseRepresentation
bin10010010101011110101000…
…10100110100001100101000
312021202121001102010102000110
421022233110110310030220
520241102210034442044
6221430540105534320
711331024413100150
oct1112572424641450
9167677042112013
1040320420234024
1111935881086437
12463244b1a43a0
131966278b78388
149d5739653760
1549dc5eea56b9
hex24abd4534328

40320420234024 has 64 divisors (see below), whose sum is σ = 115211739081600. Its totient is φ = 11519066225664.

The previous prime is 40320420234023. The next prime is 40320420234089. The reversal of 40320420234024 is 42043202402304.

It is a junction number, because it is equal to n+sod(n) for n = 40320420233982 and 40320420234000.

It is not an unprimeable number, because it can be changed into a prime (40320420234023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9134629 + ... + 12809460.

It is an arithmetic number, because the mean of its divisors is an integer number (1800183423150).

Almost surely, 240320420234024 is an apocalyptic number.

It is an amenable number.

40320420234024 is an abundant number, since it is smaller than the sum of its proper divisors (74891318847576).

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

40320420234024 is a wasteful number, since it uses less digits than its factorization.

40320420234024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21955042 (or 21955038 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 40320420234024 its reverse (42043202402304), we get a palindrome (82363622636328).

The spelling of 40320420234024 in words is "forty trillion, three hundred twenty billion, four hundred twenty million, two hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 10937 21874 32811 43748 65622 76559 87496 131244 153118 229677 262488 306236 459354 612472 918708 1837416 21944089 43888178 65832267 87776356 131664534 153608623 175552712 263329068 307217246 460825869 526658136 614434492 921651738 1228868984 1843303476 3686606952 240002501393 480005002786 720007504179 960010005572 1440015008358 1680017509751 1920020011144 2880030016716 3360035019502 5040052529253 5760060033432 6720070039004 10080105058506 13440140078008 20160210117012 40320420234024