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40020040424 = 23713101719757
BaseRepresentation
bin100101010001011000…
…010101101011101000
310211022001202200210102
4211101120111223220
51123430112243144
630215052204532
72614506505460
oct452130255350
9124261680712
1040020040424
1115a772a6781
12790a769748
133a0a27b1c0
141d19106ba0
151093644b4e
hex951615ae8

40020040424 has 128 divisors (see below), whose sum is σ = 93521433600. Its totient is φ = 15632870400.

The previous prime is 40020040421. The next prime is 40020040429. The reversal of 40020040424 is 42404002004.

It is a junction number, because it is equal to n+sod(n) for n = 40020040396 and 40020040405.

It is not an unprimeable number, because it can be changed into a prime (40020040421) 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, 52866254 + ... + 52867010.

It is an arithmetic number, because the mean of its divisors is an integer number (730636200).

Almost surely, 240020040424 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 40020040424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46760716800).

40020040424 is an abundant number, since it is smaller than the sum of its proper divisors (53501393176).

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

40020040424 is a wasteful number, since it uses less digits than its factorization.

40020040424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1599 counting only the distinct ones).

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

Adding to 40020040424 its reverse (42404002004), we get a palindrome (82424042428).

The spelling of 40020040424 in words is "forty billion, twenty million, forty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 101 104 182 202 364 404 707 719 728 757 808 1313 1414 1438 1514 2626 2828 2876 3028 5033 5252 5299 5656 5752 6056 9191 9347 9841 10066 10504 10598 18382 18694 19682 20132 21196 36764 37388 39364 40264 42392 65429 68887 72619 73528 74776 76457 78728 130858 137774 145238 152914 261716 275548 290476 305828 508333 523432 535199 544283 551096 580952 611656 944047 993941 1016666 1070398 1088566 1888094 1987882 2033332 2140796 2177132 3776188 3809981 3975764 4066664 4281592 4354264 6608329 6957587 7075679 7552376 7619962 7951528 13216658 13915174 14151358 15239924 26433316 27830348 28302716 30479848 49529753 52866632 54972583 55660696 56605432 99059506 109945166 198119012 219890332 384808081 396238024 439780664 714643579 769616162 1429287158 1539232324 2858574316 3078464648 5002505053 5717148632 10005010106 20010020212 40020040424