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40886128728 = 23331971140317
BaseRepresentation
bin100110000101000000…
…001101000001011000
310220112102110112121000
4212011000031001120
51132213322104403
630441031345000
72645124234324
oct460500150130
9126472415530
1040886128728
1116381176735
127b10822160
133b178302a3
141d9c156984
1510e46c37a3
hex98500d058

40886128728 has 128 divisors (see below), whose sum is σ = 121234752000. Its totient is φ = 12729467520.

The previous prime is 40886128711. The next prime is 40886128739. The reversal of 40886128728 is 82782168804.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221226 + ... + 361542.

It is an arithmetic number, because the mean of its divisors is an integer number (947146500).

Almost surely, 240886128728 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 40886128728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60617376000).

40886128728 is an abundant number, since it is smaller than the sum of its proper divisors (80348623272).

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

40886128728 is a wasteful number, since it uses less digits than its factorization.

40886128728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140422 (or 140412 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 40886128728 in words is "forty billion, eight hundred eighty-six million, one hundred twenty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 71 72 76 108 114 142 152 171 213 216 228 284 342 426 456 513 568 639 684 852 1026 1278 1349 1368 1704 1917 2052 2556 2698 3834 4047 4104 5112 5396 7668 8094 10792 12141 15336 16188 24282 32376 36423 48564 72846 97128 140317 145692 280634 291384 420951 561268 841902 1122536 1262853 1683804 2525706 2666023 3367608 3788559 5051412 5332046 7577118 7998069 9962507 10102824 10664092 15154236 15996138 19925014 21328184 23994207 29887521 30308472 31992276 39850028 47988414 59775042 63984552 71982621 79700056 89662563 95976828 119550084 143965242 179325126 189287633 191953656 239100168 268987689 287930484 358650252 378575266 537975378 567862899 575860968 717300504 757150532 1075950756 1135725798 1514301064 1703588697 2151901512 2271451596 3407177394 4542903192 5110766091 6814354788 10221532182 13628709576 20443064364 40886128728