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4201124466 = 2372111968371
BaseRepresentation
bin1111101001101000…
…0001001001110010
3101211210011020100110
43322122001021302
532100441440331
61532512402150
7206051653200
oct37232011162
911753136313
104201124466
111866474aa0
12992b46356
1351c4b0786
142bbd4a070
15198c52946
hexfa681272

4201124466 has 96 divisors (see below), whose sum is σ = 11223947520. Its totient is φ = 1033754400.

The previous prime is 4201124453. The next prime is 4201124471. The reversal of 4201124466 is 6644211024.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27261 + ... + 95631.

It is an arithmetic number, because the mean of its divisors is an integer number (116916120).

Almost surely, 24201124466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4201124466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5611973760).

4201124466 is an abundant number, since it is smaller than the sum of its proper divisors (7022823054).

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

4201124466 is a wasteful number, since it uses less digits than its factorization.

4201124466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68420 (or 68413 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4201124466 is about 64816.0818470231. The cubic root of 4201124466 is about 1613.5726209270.

The spelling of 4201124466 in words is "four billion, two hundred one million, one hundred twenty-four thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 49 57 66 77 98 114 133 147 154 209 231 266 294 399 418 462 539 627 798 931 1078 1254 1463 1617 1862 2793 2926 3234 4389 5586 8778 10241 20482 30723 61446 68371 136742 205113 410226 478597 752081 957194 1299049 1435791 1504162 2256243 2598098 2871582 3350179 3897147 4512486 5264567 6700358 7794294 9093343 10050537 10529134 14289539 15793701 18186686 20101074 27280029 28579078 31587402 36851969 42868617 54560058 63653401 73703938 85737234 100026773 110555907 127306802 190960203 200053546 221111814 300080319 381920406 600160638 700187411 1400374822 2100562233 4201124466