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40004004040 = 23571113999101
BaseRepresentation
bin100101010000011011…
…001010100011001000
310211020221120222000021
4211100123022203020
51123412011112130
630213320350224
72614223265250
oct452033124310
9124227528007
1040004004040
1115a69243370
127905315374
133a06b54c10
141d16d30960
15109202837a
hex9506ca8c8

40004004040 has 128 divisors (see below), whose sum is σ = 120851377920. Its totient is φ = 11509632000.

The previous prime is 40004004023. The next prime is 40004004071. The reversal of 40004004040 is 4040040004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459511 + ... + 539590.

It is an arithmetic number, because the mean of its divisors is an integer number (944151390).

Almost surely, 240004004040 is an apocalyptic number.

40004004040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40004004040 is an abundant number, since it is smaller than the sum of its proper divisors (80847373880).

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

40004004040 is a wasteful number, since it uses less digits than its factorization.

40004004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999143 (or 999139 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 40004004040 its reverse (4040040004), we get a palindrome (44044044044).

The spelling of 40004004040 in words is "forty billion, four million, four thousand, forty", and thus it is an eban number.

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 8008 10010 20020 40040 999101 1998202 3996404 4995505 6993707 7992808 9991010 10990111 12988313 13987414 19982020 21980222 25976626 27974828 34968535 39964040 43960444 51953252 54950555 55949656 64941565 69937070 76930777 87920888 90918191 103906504 109901110 129883130 139874140 142871443 153861554 181836382 219802220 259766260 279748280 285742886 307723108 363672764 384653885 439604440 454590955 519532520 571485772 615446216 714357215 727345528 769307770 909181910 1000100101 1142971544 1428714430 1538615540 1818363820 2000200202 2857428860 3077231080 3636727640 4000400404 5000500505 5714857720 8000800808 10001001010 20002002020 40004004040