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30442002000 = 2435317298451
BaseRepresentation
bin11100010110011111…
…000001011001010000
32220120112222221010120
4130112133001121100
5444321123031000
621552421430240
72125244514264
oct342637013120
986515887116
1030442002000
1111a01797743
125a96b6b380
132b41b21547
14168b0240a4
15bd28376a0
hex7167c1650

30442002000 has 160 divisors (see below), whose sum is σ = 103918598784. Its totient is φ = 7640320000.

The previous prime is 30442001999. The next prime is 30442002011. The reversal of 30442002000 is 20024403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 47226 + ... + 251225.

Almost surely, 230442002000 is an apocalyptic number.

30442002000 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 30442002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51959299392).

30442002000 is an abundant number, since it is smaller than the sum of its proper divisors (73476596784).

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

30442002000 is a wasteful number, since it uses less digits than its factorization.

30442002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298494 (or 298478 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 30442002000 its reverse (20024403), we get a palindrome (30462026403).

The spelling of 30442002000 in words is "thirty billion, four hundred forty-two million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 125 136 150 170 200 204 240 250 255 272 300 340 375 400 408 425 500 510 600 680 750 816 850 1000 1020 1200 1275 1360 1500 1700 2000 2040 2125 2550 3000 3400 4080 4250 5100 6000 6375 6800 8500 10200 12750 17000 20400 25500 34000 51000 102000 298451 596902 895353 1193804 1492255 1790706 2387608 2984510 3581412 4476765 4775216 5073667 5969020 7162824 7461275 8953530 10147334 11938040 14325648 14922550 15221001 17907060 20294668 22383825 23876080 25368335 29845100 30442002 35814120 37306375 40589336 44767650 50736670 59690200 60884004 71628240 74612750 76105005 81178672 89535300 101473340 111919125 119380400 121768008 126841675 149225500 152210010 179070600 202946680 223838250 243536016 253683350 298451000 304420020 358141200 380525025 405893360 447676500 507366700 596902000 608840040 634208375 761050050 895353000 1014733400 1217680080 1268416750 1522100100 1790706000 1902625125 2029466800 2536833500 3044200200 3805250250 5073667000 6088400400 7610500500 10147334000 15221001000 30442002000