Search a number
-
+
134034434442040 = 23511701434555941
BaseRepresentation
bin11110011110011101010010…
…110110100100001100111000
3122120120120022012011212222011
4132132131102312210030320
5120032010010204121130
61153022322533335304
740142445143511106
oct3636352266441470
9576516265155864
10134034434442040
1139786758a76860
1213048930a97534
1359a35153777c2
142515430868c76
15107682361b52a
hex79e752da4338

134034434442040 has 64 divisors (see below), whose sum is σ = 329462932986720. Its totient is φ = 48670265280000.

The previous prime is 134034434442017. The next prime is 134034434442067. The reversal of 134034434442040 is 40244434430431.

It is a super-2 number, since 2×1340344344420402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 134034434441984 and 134034434442002.

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, 216969531 + ... + 217586410.

Almost surely, 2134034434442040 is an apocalyptic number.

134034434442040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134034434442040 is an abundant number, since it is smaller than the sum of its proper divisors (195428498544680).

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

134034434442040 is a wasteful number, since it uses less digits than its factorization.

134034434442040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434556664 (or 434556660 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 40.

Adding to 134034434442040 its reverse (40244434430431), we get a palindrome (174278868872471).

The spelling of 134034434442040 in words is "one hundred thirty-four trillion, thirty-four billion, four hundred thirty-four million, four hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 701 1402 2804 3505 5608 7010 7711 14020 15422 28040 30844 38555 61688 77110 154220 308440 434555941 869111882 1738223764 2172779705 3476447528 4345559410 4780115351 8691118820 9560230702 17382237640 19120461404 23900576755 38240922808 47801153510 95602307020 191204614040 304623714641 609247429282 1218494858564 1523118573205 2436989717128 3046237146410 3350860861051 6092474292820 6701721722102 12184948585640 13403443444204 16754304305255 26806886888408 33508608610510 67017217221020 134034434442040