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3124114240 = 265133720297
BaseRepresentation
bin1011101000110110…
…0011001101000000
322001201120110001211
42322031203031000
522344233123430
61234000335504
7140263350532
oct27215431500
98051513054
103124114240
1113635322a5
12732314594
133aa31c010
14218cb3852
1513440d72a
hexba363340

3124114240 has 112 divisors (see below), whose sum is σ = 8228484432. Its totient is φ = 1122287616.

The previous prime is 3124114193. The next prime is 3124114243. The reversal of 3124114240 is 424114213.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7795264 + 3116318976 = 2792^2 + 55824^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3124114243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143772 + ... + 164068.

It is an arithmetic number, because the mean of its divisors is an integer number (73468611).

Almost surely, 23124114240 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 3124114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114242216).

3124114240 is an abundant number, since it is smaller than the sum of its proper divisors (5104370192).

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

3124114240 is a wasteful number, since it uses less digits than its factorization.

3124114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20364 (or 20354 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 3124114240 is about 55893.7763977350. The cubic root of 3124114240 is about 1461.8707238961.

Adding to 3124114240 its reverse (424114213), we get a palindrome (3548228453).

The spelling of 3124114240 in words is "three billion, one hundred twenty-four million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 37 40 52 64 65 74 80 104 130 148 160 185 208 260 296 320 370 416 481 520 592 740 832 962 1040 1184 1480 1924 2080 2368 2405 2960 3848 4160 4810 5920 7696 9620 11840 15392 19240 20297 30784 38480 40594 76960 81188 101485 153920 162376 202970 263861 324752 405940 527722 649504 750989 811880 1055444 1299008 1319305 1501978 1623760 2110888 2638610 3003956 3247520 3754945 4221776 5277220 6007912 6495040 7509890 8443552 9762857 10554440 12015824 15019780 16887104 19525714 21108880 24031648 30039560 39051428 42217760 48063296 48814285 60079120 78102856 84435520 97628570 120158240 156205712 195257140 240316480 312411424 390514280 624822848 781028560 1562057120 3124114240