Search a number
-
+
35304877140 = 223513117138653
BaseRepresentation
bin100000111000010101…
…011010110001010100
310101010110100120202020
4200320111122301110
51034301022032030
624115134013140
72356613334651
oct407025326124
9111113316666
1035304877140
1113a77756815
126a136471b0
13343843b660
1419ccbccc28
15db9704510
hex83855ac54

35304877140 has 96 divisors (see below), whose sum is σ = 106551451776. Its totient is φ = 8682785280.

The previous prime is 35304877117. The next prime is 35304877169. The reversal of 35304877140 is 4177840353.

It is a junction number, because it is equal to n+sod(n) for n = 35304877092 and 35304877101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 894054 + ... + 932706.

It is an arithmetic number, because the mean of its divisors is an integer number (1109910956).

Almost surely, 235304877140 is an apocalyptic number.

35304877140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35304877140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53275725888).

35304877140 is an abundant number, since it is smaller than the sum of its proper divisors (71246574636).

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

35304877140 is a wasteful number, since it uses less digits than its factorization.

35304877140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39849 (or 39847 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 35304877140 in words is "thirty-five billion, three hundred four million, eight hundred seventy-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1171 2342 3513 4684 5855 7026 11710 14052 15223 17565 23420 30446 35130 38653 45669 60892 70260 76115 77306 91338 115959 152230 154612 182676 193265 228345 231918 304460 386530 456690 463836 502489 579795 773060 913380 1004978 1159590 1507467 2009956 2319180 2512445 3014934 5024890 6029868 7537335 10049780 15074670 30149340 45262663 90525326 135787989 181050652 226313315 271575978 452626630 543151956 588414619 678939945 905253260 1176829238 1357879890 1765243857 2353658476 2715759780 2942073095 3530487714 5884146190 7060975428 8826219285 11768292380 17652438570 35304877140