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4121432010 = 2335139193569
BaseRepresentation
bin1111010110101000…
…0000111111001010
3101122020012102212000
43311222000333022
531420041311020
61520544331430
7204063410523
oct36552007712
911566172760
104121432010
111825493963
12970313b76
13508b2a387
142b152384a
15191c60090
hexf5a80fca

4121432010 has 128 divisors (see below), whose sum is σ = 11146464000. Its totient is φ = 1083580416.

The previous prime is 4121431997. The next prime is 4121432039. The reversal of 4121432010 is 102341214.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7243006 + ... + 7243574.

It is an arithmetic number, because the mean of its divisors is an integer number (87081750).

Almost surely, 24121432010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4121432010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573232000).

4121432010 is an abundant number, since it is smaller than the sum of its proper divisors (7025031990).

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

4121432010 is a wasteful number, since it uses less digits than its factorization.

4121432010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4121432010 is about 64198.3801197507. The cubic root of 4121432010 is about 1603.3046295760.

Adding to 4121432010 its reverse (102341214), we get a palindrome (4223773224).

The spelling of 4121432010 in words is "four billion, one hundred twenty-one million, four hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 139 193 270 278 386 417 569 579 695 834 965 1138 1158 1251 1390 1707 1737 1930 2085 2502 2845 2895 3414 3474 3753 4170 5121 5211 5690 5790 6255 7506 8535 8685 10242 10422 12510 15363 17070 17370 18765 25605 26055 26827 30726 37530 51210 52110 53654 76815 79091 80481 109817 134135 153630 158182 160962 219634 237273 241443 268270 329451 395455 402405 474546 482886 549085 658902 711819 724329 790910 804810 988353 1098170 1186365 1207215 1423638 1448658 1647255 1976706 2135457 2372730 2414430 2965059 3294510 3559095 3621645 4270914 4941765 5930118 7118190 7243290 9883530 10677285 14825295 15264563 21354570 29650590 30529126 45793689 76322815 91587378 137381067 152645630 228968445 274762134 412143201 457936890 686905335 824286402 1373810670 2060716005 4121432010