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40442430140 = 22571376473259
BaseRepresentation
bin100101101010100011…
…101000001010111100
310212101111120022112222
4211222203220022330
51130311230231030
630325021344512
72631125661410
oct455243501274
9125344508488
1040442430140
1116173774392
127a08108138
133a7692b848
141d59258d40
1510ba77c3e5
hex96a8e82bc

40442430140 has 96 divisors (see below), whose sum is σ = 97951472640. Its totient is φ = 13739272704.

The previous prime is 40442430137. The next prime is 40442430157. The reversal of 40442430140 is 4103424404.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12407831 + ... + 12411089.

It is an arithmetic number, because the mean of its divisors is an integer number (1020327840).

Almost surely, 240442430140 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 40442430140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48975736320).

40442430140 is an abundant number, since it is smaller than the sum of its proper divisors (57509042500).

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

40442430140 is a wasteful number, since it uses less digits than its factorization.

40442430140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059 (or 4057 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 40442430140 its reverse (4103424404), we get a palindrome (44545854544).

The spelling of 40442430140 in words is "forty billion, four hundred forty-two million, four hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 137 140 274 548 647 685 959 1294 1370 1918 2588 2740 3235 3259 3836 4529 4795 6470 6518 9058 9590 12940 13036 16295 18116 19180 22645 22813 32590 45290 45626 65180 88639 90580 91252 114065 177278 228130 354556 443195 446483 456260 620473 886390 892966 1240946 1772780 1785932 2108573 2232415 2481892 3102365 3125381 4217146 4464830 6204730 6250762 8434292 8929660 10542865 12409460 12501524 14760011 15626905 21085730 29520022 31253810 42171460 59040044 62507620 73800055 147600110 288874501 295200220 577749002 1155498004 1444372505 2022121507 2888745010 4044243014 5777490020 8088486028 10110607535 20221215070 40442430140