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40926908416 = 2122921092
BaseRepresentation
bin100110000111011011…
…110001000000000000
310220122021012100210211
4212013123301000000
51132304242032131
630445045403504
72646130660462
oct460733610000
9126567170724
1040926908416
11163a219a059
127b22409594
133b2310a994
141da3730132
1510e807b5b1
hex9876f1000

40926908416 has 117 divisors (see below), whose sum is σ = 85548122751. Its totient is φ = 19576553472.

The previous prime is 40926908411. The next prime is 40926908431. The reversal of 40926908416 is 61480962904.

The square root of 40926908416 is 202304.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2070614016 + 38856294400 = 45504^2 + 197120^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40926908416.

It is not an unprimeable number, because it can be changed into a prime (40926908411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 375476170 + ... + 375476278.

Almost surely, 240926908416 is an apocalyptic number.

40926908416 is the 202304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40926908416

40926908416 is an abundant number, since it is smaller than the sum of its proper divisors (44621214335).

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

40926908416 is an frugal number, since it uses more digits than its factorization.

40926908416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

Multiplying 40926908416 by its sum of digits (49), we get a square (2005418512384 = 14161282).

The spelling of 40926908416 in words is "forty billion, nine hundred twenty-six million, nine hundred eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 109 116 128 218 232 256 436 464 512 841 872 928 1024 1682 1744 1856 2048 3161 3364 3488 3712 4096 6322 6728 6976 7424 11881 12644 13456 13952 14848 23762 25288 26912 27904 29696 47524 50576 53824 55808 59392 91669 95048 101152 107648 111616 118784 183338 190096 202304 215296 223232 344549 366676 380192 404608 430592 446464 689098 733352 760384 809216 861184 1378196 1466704 1520768 1618432 1722368 2756392 2933408 3041536 3236864 3444736 5512784 5866816 6083072 6473728 9991921 11025568 11733632 12166144 12947456 19983842 22051136 23467264 24332288 39967684 44102272 46934528 48664576 79935368 88204544 93869056 159870736 176409088 187738112 319741472 352818176 375476224 639482944 705636352 1278965888 1411272704 2557931776 5115863552 10231727104 20463454208 40926908416