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4201121392 = 2413127359443
BaseRepresentation
bin1111101001101000…
…0000011001110000
3101211210011002010121
43322122000121300
532100441341032
61532512340024
7206051641216
oct37232003160
911753132117
104201121392
111866472756
12992b44614
1351c4ac260
142bbd48cb6
15198c51a97
hexfa680670

4201121392 has 80 divisors (see below), whose sum is σ = 8879431680. Its totient is φ = 1914022656.

The previous prime is 4201121383. The next prime is 4201121401. The reversal of 4201121392 is 2931211024.

It is an interprime number because it is at equal distance from previous prime (4201121383) and next prime (4201121401).

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, 9483123 + ... + 9483565.

It is an arithmetic number, because the mean of its divisors is an integer number (110992896).

Almost surely, 24201121392 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 4201121392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4439715840).

4201121392 is an abundant number, since it is smaller than the sum of its proper divisors (4678310288).

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

4201121392 is a wasteful number, since it uses less digits than its factorization.

4201121392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 4201121392 is about 64816.0581337681. The cubic root of 4201121392 is about 1613.5722273718.

The spelling of 4201121392 in words is "four billion, two hundred one million, one hundred twenty-one thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 52 104 127 208 254 359 443 508 718 886 1016 1436 1651 1772 2032 2872 3302 3544 4667 5744 5759 6604 7088 9334 11518 13208 18668 23036 26416 37336 45593 46072 56261 74672 91186 92144 112522 159037 182372 225044 318074 364744 450088 592709 636148 729488 731393 900176 1185418 1272296 1462786 2067481 2370836 2544592 2925572 4134962 4741672 5851144 8269924 9483344 11702288 16539848 20197699 33079696 40395398 80790796 161581592 262570087 323163184 525140174 1050280348 2100560696 4201121392