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4122002040 = 23351323114883
BaseRepresentation
bin1111010110110000…
…1100001001111000
3101122021021101210020
43311230030021320
531420213031130
61521004450440
7204101303442
oct36554141170
911567241706
104122002040
111825843162
12970549a20
13508c99980
142b1631492
15191d23e10
hexf5b0c278

4122002040 has 128 divisors (see below), whose sum is σ = 13896368640. Its totient is φ = 970523136.

The previous prime is 4122002009. The next prime is 4122002047. The reversal of 4122002040 is 402002214.

4122002040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122002047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21562 + ... + 93321.

It is an arithmetic number, because the mean of its divisors is an integer number (108565380).

Almost surely, 24122002040 is an apocalyptic number.

4122002040 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 4122002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6948184320).

4122002040 is an abundant number, since it is smaller than the sum of its proper divisors (9774366600).

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

4122002040 is a wasteful number, since it uses less digits than its factorization.

4122002040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114933 (or 114929 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4122002040 is about 64202.8195642528. The cubic root of 4122002040 is about 1603.3785431740.

Adding to 4122002040 its reverse (402002214), we get a palindrome (4524004254).

The spelling of 4122002040 in words is "four billion, one hundred twenty-two million, two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 65 69 78 92 104 115 120 130 138 156 184 195 230 260 276 299 312 345 390 460 520 552 598 690 780 897 920 1196 1380 1495 1560 1794 2392 2760 2990 3588 4485 5980 7176 8970 11960 17940 35880 114883 229766 344649 459532 574415 689298 919064 1148830 1378596 1493479 1723245 2297660 2642309 2757192 2986958 3446490 4480437 4595320 5284618 5973916 6892980 7467395 7926927 8960874 10569236 11947832 13211545 13785960 14934790 15853854 17921748 21138472 22402185 26423090 29869580 31707708 34350017 35843496 39634635 44804370 52846180 59739160 63415416 68700034 79269270 89608740 103050051 105692360 137400068 158538540 171750085 179217480 206100102 274800136 317077080 343500170 412200204 515250255 687000340 824400408 1030500510 1374000680 2061001020 4122002040