Search a number
-
+
42395471136 = 25321574991879
BaseRepresentation
bin100111011110111101…
…111000110100100000
311001102121120002010200
4213132331320310200
51143311220034021
631250510025200
73030412362444
oct473675706440
9131377502120
1042395471136
1116a86157a57
1282721a8200
133cc84439c5
1420a27ac824
151181e66126
hex9def78d20

42395471136 has 144 divisors (see below), whose sum is σ = 121637880000. Its totient is φ = 14006214144.

The previous prime is 42395471123. The next prime is 42395471137. The reversal of 42395471136 is 63117459324.

42395471136 is a `hidden beast` number, since 42 + 3 + 9 + 5 + 471 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 42395471091 and 42395471100.

It is not an unprimeable number, because it can be changed into a prime (42395471137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22561845 + ... + 22563723.

It is an arithmetic number, because the mean of its divisors is an integer number (844707500).

Almost surely, 242395471136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42395471136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60818940000).

42395471136 is an abundant number, since it is smaller than the sum of its proper divisors (79242408864).

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

42395471136 is a wasteful number, since it uses less digits than its factorization.

42395471136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2540 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 42395471136 in words is "forty-two billion, three hundred ninety-five million, four hundred seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 157 288 314 471 499 628 942 998 1256 1413 1497 1879 1884 1996 2512 2826 2994 3758 3768 3992 4491 5024 5637 5652 5988 7516 7536 7984 8982 11274 11304 11976 15032 15072 15968 16911 17964 22548 22608 23952 30064 33822 35928 45096 45216 47904 60128 67644 71856 78343 90192 135288 143712 156686 180384 235029 270576 295003 313372 470058 541152 590006 626744 705087 885009 937621 940116 1180012 1253488 1410174 1770018 1875242 1880232 2360024 2506976 2655027 2812863 2820348 3540036 3750484 3760464 4720048 5310054 5625726 5640696 7080072 7500968 7520928 8438589 9440096 10620108 11251452 11281392 14160144 15001936 16877178 21240216 22502904 22562784 28320288 30003872 33754356 42480432 45005808 67508712 84960864 90011616 135017424 147206497 270034848 294412994 441619491 588825988 883238982 1177651976 1324858473 1766477964 2355303952 2649716946 3532955928 4710607904 5299433892 7065911856 10598867784 14131823712 21197735568 42395471136