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4150124020 = 2257196125577
BaseRepresentation
bin1111011101011101…
…1101110111110100
3101201020012010220001
43313113131313310
531444412432040
61523451321044
7204562320640
oct36727356764
911636163801
104150124020
11183a700669
12979a50184
13511a64bb3
142b5271c20
1519452b59a
hexf75dddf4

4150124020 has 96 divisors (see below), whose sum is σ = 10656817920. Its totient is φ = 1325859840.

The previous prime is 4150123961. The next prime is 4150124029. The reversal of 4150124020 is 204210514.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4150124029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149472 + ... + 175048.

It is an arithmetic number, because the mean of its divisors is an integer number (111008520).

Almost surely, 24150124020 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 4150124020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5328408960).

4150124020 is an abundant number, since it is smaller than the sum of its proper divisors (6506693900).

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

4150124020 is a wasteful number, since it uses less digits than its factorization.

4150124020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25673 (or 25671 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 4150124020 is about 64421.4562083162. The cubic root of 4150124020 is about 1607.0165831831.

Adding to 4150124020 its reverse (204210514), we get a palindrome (4354334534).

The spelling of 4150124020 in words is "four billion, one hundred fifty million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 61 70 76 95 122 133 140 190 244 266 305 380 427 532 610 665 854 1159 1220 1330 1708 2135 2318 2660 4270 4636 5795 8113 8540 11590 16226 23180 25577 32452 40565 51154 81130 102308 127885 162260 179039 255770 358078 485963 511540 716156 895195 971926 1560197 1790390 1943852 2429815 3120394 3401741 3580780 4859630 6240788 6803482 7800985 9719260 10921379 13606964 15601970 17008705 21842758 29643743 31203940 34017410 43685516 54606895 59287486 68034820 109213790 118574972 148218715 207506201 218427580 296437430 415012402 592874860 830024804 1037531005 2075062010 4150124020