Search a number
-
+
34100401040 = 2452416312803
BaseRepresentation
bin11111110000100010…
…101101001110010000
310021000111220212011022
4133300202231032100
51024314200313130
623355425535012
72315016424556
oct376042551620
9107014825138
1034100401040
1113509873022
1267381a4468
1332a5a3a9c4
141916c55bd6
15d48ad27e5
hex7f08ad390

34100401040 has 80 divisors (see below), whose sum is σ = 79767025536. Its totient is φ = 13557196800.

The previous prime is 34100401019. The next prime is 34100401043. The reversal of 34100401040 is 4010400143.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (34100401043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12164279 + ... + 12167081.

Almost surely, 234100401040 is an apocalyptic number.

It is an amenable number.

34100401040 is an abundant number, since it is smaller than the sum of its proper divisors (45666624496).

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

34100401040 is a wasteful number, since it uses less digits than its factorization.

34100401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 34100401040 its reverse (4010400143), we get a palindrome (38110801183).

The spelling of 34100401040 in words is "thirty-four billion, one hundred million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 241 482 631 964 1205 1262 1928 2410 2524 2803 3155 3856 4820 5048 5606 6310 9640 10096 11212 12620 14015 19280 22424 25240 28030 44848 50480 56060 112120 152071 224240 304142 608284 675523 760355 1216568 1351046 1520710 1768693 2433136 2702092 3041420 3377615 3537386 5404184 6082840 6755230 7074772 8843465 10808368 12165680 13510460 14149544 17686930 27020920 28299088 35373860 54041840 70747720 141495440 426255013 852510026 1705020052 2131275065 3410040104 4262550130 6820080208 8525100260 17050200520 34100401040