Search a number
-
+
116470142040 = 23357313442987
BaseRepresentation
bin110110001111000101…
…0010101010001011000
3102010122000010020200110
41230132022111101120
53402012324021130
6125301115204320
711262144605220
oct1543612252130
9363560106613
10116470142040
11454383a463a
121a6a57466a0
13aca1ac5615
1458cc615080
15306a14bab0
hex1b1e295458

116470142040 has 128 divisors (see below), whose sum is σ = 400602908160. Its totient is φ = 26536633344.

The previous prime is 116470142039. The next prime is 116470142077. The reversal of 116470142040 is 40241074611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 116470141989 and 116470142007.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 41427 + ... + 484413.

It is an arithmetic number, because the mean of its divisors is an integer number (3129710220).

Almost surely, 2116470142040 is an apocalyptic number.

116470142040 is a gapful number since it is divisible by the number (10) 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 116470142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200301454080).

116470142040 is an abundant number, since it is smaller than the sum of its proper divisors (284132766120).

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

116470142040 is a wasteful number, since it uses less digits than its factorization.

116470142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443321 (or 443317 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 116470142040 in words is "one hundred sixteen billion, four hundred seventy million, one hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 313 420 626 840 939 1252 1565 1878 2191 2504 3130 3756 4382 4695 6260 6573 7512 8764 9390 10955 12520 13146 17528 18780 21910 26292 32865 37560 43820 52584 65730 87640 131460 262920 442987 885974 1328961 1771948 2214935 2657922 3100909 3543896 4429870 5315844 6201818 6644805 8859740 9302727 10631688 12403636 13289610 15504545 17719480 18605454 24807272 26579220 31009090 37210908 46513635 53158440 62018180 74421816 93027270 124036360 138654931 186054540 277309862 372109080 415964793 554619724 693274655 831929586 970584517 1109239448 1386549310 1663859172 1941169034 2079823965 2773098620 2911753551 3327718344 3882338068 4159647930 4852922585 5546197240 5823507102 7764676136 8319295860 9705845170 11647014204 14558767755 16638591720 19411690340 23294028408 29117535510 38823380680 58235071020 116470142040