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4124412240 = 2435131321927
BaseRepresentation
bin1111010111010101…
…1000100101010000
3101122102210211221220
43311311120211100
531421322142430
61521132245040
7204130632324
oct36565304520
911572724856
104124412240
111827139a63
12971310780
13509631a20
142b1a9b984
1519214d110
hexf5d58950

4124412240 has 80 divisors (see below), whose sum is σ = 13769202048. Its totient is φ = 1015239168.

The previous prime is 4124412217. The next prime is 4124412269. The reversal of 4124412240 is 422144214.

4124412240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 4124412240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657844 + ... + 664083.

Almost surely, 24124412240 is an apocalyptic number.

4124412240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4124412240 is an abundant number, since it is smaller than the sum of its proper divisors (9644789808).

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

4124412240 is a wasteful number, since it uses less digits than its factorization.

4124412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321956 (or 1321950 counting only the distinct ones).

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

The square root of 4124412240 is about 64221.5870249249. The cubic root of 4124412240 is about 1603.6909892433.

Adding to 4124412240 its reverse (422144214), we get a palindrome (4546556454).

The spelling of 4124412240 in words is "four billion, one hundred twenty-four million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 1321927 2643854 3965781 5287708 6609635 7931562 10575416 13219270 15863124 17185051 19828905 21150832 26438540 31726248 34370102 39657810 51555153 52877080 63452496 68740204 79315620 85925255 103110306 105754160 137480408 158631240 171850510 206220612 257775765 274960816 317262480 343701020 412441224 515551530 687402040 824882448 1031103060 1374804080 2062206120 4124412240