Search a number
-
+
40744577328 = 24371320034657
BaseRepresentation
bin100101111100100100…
…001110100100110000
310220011120002222120120
4211330210032210300
51131421102433303
630415013410240
72641455123120
oct457444164460
9126146088516
1040744577328
1116309285004
127a91339980
133ac43cba70
141d8742ac80
1510d7062553
hex97c90e930

40744577328 has 160 divisors (see below), whose sum is σ = 129639369216. Its totient is φ = 10738151424.

The previous prime is 40744577309. The next prime is 40744577329. The reversal of 40744577328 is 82377544704.

It is not an unprimeable number, because it can be changed into a prime (40744577329) 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, 8746776 + ... + 8751432.

Almost surely, 240744577328 is an apocalyptic number.

40744577328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40744577328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64819684608).

40744577328 is an abundant number, since it is smaller than the sum of its proper divisors (88894791888).

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

40744577328 is a wasteful number, since it uses less digits than its factorization.

40744577328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6691 (or 6685 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 51.

The spelling of 40744577328 in words is "forty billion, seven hundred forty-four million, five hundred seventy-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2003 2184 4006 4368 4657 6009 8012 9314 12018 13971 14021 16024 18628 24036 26039 27942 28042 32048 32599 37256 42063 48072 52078 55884 56084 60541 65198 74512 78117 84126 96144 97797 104156 111768 112168 121082 130396 156234 168252 181623 182273 195594 208312 223536 224336 242164 260792 312468 336504 363246 364546 391188 416624 423787 484328 521584 546819 624936 673008 726492 729092 782376 847574 968656 1093638 1249872 1271361 1452984 1458184 1564752 1695148 2187276 2542722 2905968 2916368 3390296 4374552 5085444 6780592 8749104 9327971 10170888 18655942 20341776 27983913 37311884 55967826 65295797 74623768 111935652 121263623 130591594 149247536 195887391 223871304 242527246 261183188 363790869 391774782 447742608 485054492 522366376 727581738 783549564 848845361 970108984 1044732752 1455163476 1567099128 1697690722 1940217968 2546536083 2910326952 3134198256 3395381444 5093072166 5820653904 6790762888 10186144332 13581525776 20372288664 40744577328