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4212043440 = 2435116723813
BaseRepresentation
bin1111101100001110…
…1010111010110000
3101212112200222100220
43323003222322300
532111240342230
61533542413040
7206243531013
oct37303527260
911775628326
104212043440
111871652640
12996731180
135218346c7
142bd58d37a
15199bacd10
hexfb0eaeb0

4212043440 has 160 divisors (see below), whose sum is σ = 14457574656. Its totient is φ = 1005818880.

The previous prime is 4212043427. The next prime is 4212043477. The reversal of 4212043440 is 443402124.

It is a happy number.

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 4212043440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164974 + ... + 188786.

Almost surely, 24212043440 is an apocalyptic number.

4212043440 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 4212043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7228787328).

4212043440 is an abundant number, since it is smaller than the sum of its proper divisors (10245531216).

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

4212043440 is a wasteful number, since it uses less digits than its factorization.

4212043440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23907 (or 23901 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4212043440 is about 64900.2576266073. The cubic root of 4212043440 is about 1614.9693355244.

Adding to 4212043440 its reverse (443402124), we get a palindrome (4655445564).

The spelling of 4212043440 in words is "four billion, two hundred twelve million, forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 67 80 88 110 120 132 134 165 176 201 220 240 264 268 330 335 402 440 528 536 660 670 737 804 880 1005 1072 1320 1340 1474 1608 2010 2211 2640 2680 2948 3216 3685 4020 4422 5360 5896 7370 8040 8844 11055 11792 14740 16080 17688 22110 23813 29480 35376 44220 47626 58960 71439 88440 95252 119065 142878 176880 190504 238130 261943 285756 357195 381008 476260 523886 571512 714390 785829 952520 1047772 1143024 1309715 1428780 1571658 1595471 1905040 2095544 2619430 2857560 3143316 3190942 3929145 4191088 4786413 5238860 5715120 6286632 6381884 7858290 7977355 9572826 10477720 12573264 12763768 15716580 15954710 17550181 19145652 20955440 23932065 25527536 31433160 31909420 35100362 38291304 47864130 52650543 62866320 63818840 70200724 76582608 87750905 95728260 105301086 127637680 140401448 175501810 191456520 210602172 263252715 280802896 351003620 382913040 421204344 526505430 702007240 842408688 1053010860 1404014480 2106021720 4212043440