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4122440140 = 2257133122357
BaseRepresentation
bin1111010110110111…
…0111000111001100
3101122022002122202011
43311231313013030
531420321041030
61521022111004
7204105106630
oct36555670714
911568078664
104122440140
111826012325
1297071b464
135090c11c0
142b1706dc0
15191dadb2a
hexf5b771cc

4122440140 has 144 divisors (see below), whose sum is σ = 11014387776. Its totient is φ = 1262062080.

The previous prime is 4122440129. The next prime is 4122440209. The reversal of 4122440140 is 410442214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1747842 + ... + 1750198.

It is an arithmetic number, because the mean of its divisors is an integer number (76488804).

Almost surely, 24122440140 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 4122440140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5507193888).

4122440140 is an abundant number, since it is smaller than the sum of its proper divisors (6891947636).

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

4122440140 is a wasteful number, since it uses less digits than its factorization.

4122440140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4122440140 is about 64206.2313175287. The cubic root of 4122440140 is about 1603.4353452853.

Adding to 4122440140 its reverse (410442214), we get a palindrome (4532882354).

The spelling of 4122440140 in words is "four billion, one hundred twenty-two million, four hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 31 35 52 62 65 70 91 124 130 140 155 182 217 260 310 364 403 434 455 620 806 868 910 961 1085 1612 1820 1922 2015 2170 2357 2821 3844 4030 4340 4714 4805 5642 6727 8060 9428 9610 11284 11785 12493 13454 14105 16499 19220 23570 24986 26908 28210 30641 32998 33635 47140 49972 56420 61282 62465 65996 67270 73067 82495 87451 122564 124930 134540 146134 153205 164990 174902 214487 249860 292268 306410 329980 349804 365335 428974 437255 511469 612820 730670 857948 874510 949871 1022938 1072435 1461340 1749020 1899742 2045876 2144870 2265077 2557345 3799484 4289740 4530154 4749355 5114690 6649097 9060308 9498710 10229380 11325385 13298194 15855539 18997420 22650770 26596388 29446001 31711078 33245485 45301540 58892002 63422156 66490970 79277695 117784004 132981940 147230005 158555390 206122007 294460010 317110780 412244014 588920020 824488028 1030610035 2061220070 4122440140