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40024042004 = 221773137229257
BaseRepresentation
bin100101010001100111…
…100110101000010100
310211022100021222221002
4211101213212220110
51123432123321004
630215314042432
72614555513052
oct452147465024
9124270258832
1040024042004
1115a7958a171
12790bb79418
133a0b04c6bb
141d198691d2
151093b8561e
hex9519e6a14

40024042004 has 96 divisors (see below), whose sum is σ = 76353490080. Its totient is φ = 18289262592.

The previous prime is 40024042001. The next prime is 40024042039.

40024042004 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 6753552400 + 33270489604 = 82180^2 + 182402^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40024042001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155735444 + ... + 155735700.

It is an arithmetic number, because the mean of its divisors is an integer number (795348855).

Almost surely, 240024042004 is an apocalyptic number.

It is an amenable number.

40024042004 is a deficient number, since it is larger than the sum of its proper divisors (36329448076).

40024042004 is a wasteful number, since it uses less digits than its factorization.

40024042004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

It can be divided in two parts, 400240 and 42004, that added together give a palindrome (442244).

The spelling of 40024042004 in words is "forty billion, twenty-four million, forty-two thousand, four".

Divisors: 1 2 4 17 34 68 73 137 146 229 257 274 292 458 514 548 916 1028 1241 2329 2482 3893 4369 4658 4964 7786 8738 9316 10001 15572 16717 17476 18761 20002 31373 33434 35209 37522 40004 58853 62746 66868 70418 75044 117706 125492 140836 170017 235412 284189 318937 340034 533341 568378 598553 637874 680068 1000501 1066682 1136756 1197106 1275748 2001002 2133364 2290229 2394212 2570257 4002004 4296269 4580458 5140514 8062861 8592538 9160916 10281028 16125722 17185076 32251444 38933893 43694369 73036573 77867786 87388738 137068637 146073146 155735572 174777476 274137274 292146292 548274548 588588853 1177177706 2354355412 10006010501 20012021002 40024042004