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40921628740 = 22531213715541
BaseRepresentation
bin100110000111000111…
…101000000001000100
310220121220021010110021
4212013013220001010
51132301414104430
630444340304524
72646035051026
oct460707500104
9126556233407
1040921628740
111639a213393
127b206a2144
133b21cac805
141da2b58016
1510e788707a
hex9871e8044

40921628740 has 72 divisors (see below), whose sum is σ = 89450861976. Its totient is φ = 15723993600.

The previous prime is 40921628719. The next prime is 40921628767. The reversal of 40921628740 is 4782612904.

It can be written as a sum of positive squares in 4 ways, for example, as 9939292416 + 30982336324 = 99696^2 + 176018^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2625370 + ... + 2640910.

It is an arithmetic number, because the mean of its divisors is an integer number (1242373083).

Almost surely, 240921628740 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 40921628740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44725430988).

40921628740 is an abundant number, since it is smaller than the sum of its proper divisors (48529233236).

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

40921628740 is a wasteful number, since it uses less digits than its factorization.

40921628740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15749 (or 15716 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 40921628740 in words is "forty billion, nine hundred twenty-one million, six hundred twenty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 137 155 274 310 548 620 685 961 1370 1922 2740 3844 4247 4805 8494 9610 15541 16988 19220 21235 31082 42470 62164 77705 84940 131657 155410 263314 310820 481771 526628 658285 963542 1316570 1927084 2129117 2408855 2633140 4258234 4817710 8516468 9635420 10645585 14934901 21291170 29869802 42582340 59739604 66002627 74674505 132005254 149349010 264010508 298698020 330013135 660026270 1320052540 2046081437 4092162874 8184325748 10230407185 20460814370 40921628740