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3119843142 = 2341323292221
BaseRepresentation
bin1011100111110101…
…0000011101000110
322001102112110020000
42321331100131012
522342134440032
61233325022130
7140212141413
oct27175203506
98042473200
103119843142
111361085369
127309b4946
133a9484c40
142184c110a
15133d67e7c
hexb9f50746

3119843142 has 160 divisors (see below), whose sum is σ = 8130386880. Its totient is φ = 886152960.

The previous prime is 3119843081. The next prime is 3119843173. The reversal of 3119843142 is 2413489113.

3119843142 is a `hidden beast` number, since 31 + 198 + 431 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3119843097 and 3119843106.

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 79 ways as a sum of consecutive naturals, for example, 1403592 + ... + 1405812.

It is an arithmetic number, because the mean of its divisors is an integer number (50814918).

Almost surely, 23119843142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3119843142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065193440).

3119843142 is an abundant number, since it is smaller than the sum of its proper divisors (5010543738).

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

3119843142 is a wasteful number, since it uses less digits than its factorization.

3119843142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2291 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 3119843142 is about 55855.5560530911. The cubic root of 3119843142 is about 1461.2042266443.

The spelling of 3119843142 in words is "three billion, one hundred nineteen million, eight hundred forty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 23 26 27 29 39 46 54 58 69 78 81 87 117 138 162 174 207 234 261 299 351 377 414 522 598 621 667 702 754 783 897 1053 1131 1242 1334 1566 1794 1863 2001 2106 2221 2262 2349 2691 3393 3726 4002 4442 4698 5382 6003 6663 6786 8073 8671 10179 12006 13326 16146 17342 18009 19989 20358 24219 26013 28873 30537 36018 39978 48438 51083 52026 54027 57746 59967 61074 64409 78039 86619 102166 108054 119934 128818 153249 156078 173238 179901 193227 234117 259857 306498 359802 386454 459747 468234 519714 579681 664079 702351 779571 837317 919494 1159362 1328158 1379241 1404702 1481407 1559142 1674634 1739043 1992237 2338713 2511951 2758482 2962814 3478086 3984474 4137723 4444221 4677426 5023902 5217129 5976711 7535853 8275446 8888442 10434258 11953422 13332663 15071706 17930133 19258291 22607559 26665326 35860266 38516582 39997989 45215118 53790399 57774873 67822677 79995978 107580798 115549746 119993967 135645354 173324619 239987934 346649238 519973857 1039947714 1559921571 3119843142