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150000013400 = 235217223197837
BaseRepresentation
bin1000101110110010110…
…0101001000001011000
3112100011202111012020212
42023230230221001120
54424200000412100
6152524204510252
713560066035216
oct2135454510130
9470152435225
10150000013400
1158684108226
12250a284b388
13111b65855a3
14738d795cb6
153d7dad3635
hex22ecb29058

150000013400 has 96 divisors (see below), whose sum is σ = 370922509440. Its totient is φ = 56217077760.

The previous prime is 150000013381. The next prime is 150000013483. The reversal of 150000013400 is 4310000051.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 659282 + ... + 857118.

It is an arithmetic number, because the mean of its divisors is an integer number (3863776140).

Almost surely, 2150000013400 is an apocalyptic number.

150000013400 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 150000013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185461254720).

150000013400 is an abundant number, since it is smaller than the sum of its proper divisors (220922496040).

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

150000013400 is a wasteful number, since it uses less digits than its factorization.

150000013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198093 (or 198084 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

Adding to 150000013400 its reverse (4310000051), we get a palindrome (154310013451).

The spelling of 150000013400 in words is "one hundred fifty billion, thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 223 340 425 446 680 850 892 1115 1700 1784 2230 3400 3791 4460 5575 7582 8920 11150 15164 18955 22300 30328 37910 44600 75820 94775 151640 189550 197837 379100 395674 758200 791348 989185 1582696 1978370 3363229 3956740 4945925 6726458 7913480 9891850 13452916 16816145 19783700 26905832 33632290 39567400 44117651 67264580 84080725 88235302 134529160 168161450 176470604 220588255 336322900 352941208 441176510 672645800 750000067 882353020 1102941275 1500000134 1764706040 2205882550 3000000268 3750000335 4411765100 6000000536 7500000670 8823530200 15000001340 18750001675 30000002680 37500003350 75000006700 150000013400