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4121422440 = 23352313111399
BaseRepresentation
bin1111010110100111…
…1110101001101000
3101122020011221201120
43311221332221220
531420041004230
61520544215240
7204063340602
oct36551765150
911566157646
104121422440
111825487753
1297030a520
13508b25c05
142b1520172
15191c5c310
hexf5a7ea68

4121422440 has 128 divisors (see below), whose sum is σ = 13001472000. Its totient is φ = 1043144960.

The previous prime is 4121422439. The next prime is 4121422447. The reversal of 4121422440 is 442241214.

It is a super-2 number, since 2×41214224402 = 33972245857871107200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4121422440.

It is not an unprimeable number, because it can be changed into a prime (4121422447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355861 + ... + 367259.

It is an arithmetic number, because the mean of its divisors is an integer number (101574000).

Almost surely, 24121422440 is an apocalyptic number.

4121422440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4121422440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6500736000).

4121422440 is an abundant number, since it is smaller than the sum of its proper divisors (8880049560).

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

4121422440 is a wasteful number, since it uses less digits than its factorization.

4121422440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11567 (or 11563 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4121422440 is about 64198.3055851165. The cubic root of 4121422440 is about 1603.3033886127.

Adding to 4121422440 its reverse (442241214), we get a palindrome (4563663654).

The spelling of 4121422440 in words is "four billion, one hundred twenty-one million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 131 138 184 230 262 276 345 393 460 524 552 655 690 786 920 1048 1310 1380 1572 1965 2620 2760 3013 3144 3930 5240 6026 7860 9039 11399 12052 15065 15720 18078 22798 24104 30130 34197 36156 45195 45596 56995 60260 68394 72312 90390 91192 113990 120520 136788 170985 180780 227980 262177 273576 341970 361560 455960 524354 683940 786531 1048708 1310885 1367880 1493269 1573062 2097416 2621770 2986538 3146124 3932655 4479807 5243540 5973076 6292248 7466345 7865310 8959614 10487080 11946152 14932690 15730620 17919228 22399035 29865380 31461240 34345187 35838456 44798070 59730760 68690374 89596140 103035561 137380748 171725935 179192280 206071122 274761496 343451870 412142244 515177805 686903740 824284488 1030355610 1373807480 2060711220 4121422440