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40876761132 = 2235235334499
BaseRepresentation
bin100110000100011100…
…011110000000101100
310220111202211121200000
4212010130132000230
51132203422324012
630440054504300
72644651510464
oct460434360054
9126452747600
1040876761132
1116376958719
127b09665090
133b1590052c
141d9abd8ba4
1510e3972ddc
hex98471e02c

40876761132 has 144 divisors (see below), whose sum is σ = 113926176000. Its totient is φ = 12786890688.

The previous prime is 40876761131. The next prime is 40876761187. The reversal of 40876761132 is 23116767804.

It is not an unprimeable number, because it can be changed into a prime (40876761131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1167619 + ... + 1202117.

It is an arithmetic number, because the mean of its divisors is an integer number (791154000).

Almost surely, 240876761132 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 40876761132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56963088000).

40876761132 is an abundant number, since it is smaller than the sum of its proper divisors (73049414868).

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

40876761132 is a wasteful number, since it uses less digits than its factorization.

40876761132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34594 (or 34580 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 40876761132 in words is "forty billion, eight hundred seventy-six million, seven hundred sixty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 53 54 69 81 92 106 108 138 159 162 207 212 243 276 318 324 414 477 486 621 636 828 954 972 1219 1242 1431 1863 1908 2438 2484 2862 3657 3726 4293 4876 5589 5724 7314 7452 8586 10971 11178 12879 14628 17172 21942 22356 25758 32913 34499 43884 51516 65826 68998 98739 103497 131652 137996 197478 206994 296217 310491 394956 413988 592434 620982 793477 931473 1184868 1241964 1586954 1828447 1862946 2380431 2794419 3173908 3656894 3725892 4760862 5485341 5588838 7141293 7313788 8383257 9521724 10970682 11177676 14282586 16456023 16766514 21423879 21941364 28565172 32912046 33533028 42054281 42847758 49368069 64271637 65824092 84108562 85695516 98736138 126162843 128543274 148104207 168217124 192814911 197472276 252325686 257086548 296208414 378488529 385629822 444312621 504651372 592416828 756977058 771259644 888625242 1135465587 1513954116 1777250484 2270931174 3406396761 4541862348 6812793522 10219190283 13625587044 20438380566 40876761132