Search a number
-
+
150123614208 = 212329421279
BaseRepresentation
bin1000101111010000010…
…0001001000000000000
3112100111101001202200120
42023310010021000000
54424423121123313
6152544342020240
713563126444351
oct2136404110000
9470441052616
10150123614208
1158737959357
1225118117680
1311206070469
1473a1d6bd28
153d8989ad23
hex22f4109000

150123614208 has 104 divisors (see below), whose sum is σ = 414084537600. Its totient is φ = 48315531264.

The previous prime is 150123614189. The next prime is 150123614233. The reversal of 150123614208 is 802416321051.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145713 + ... + 566991.

Almost surely, 2150123614208 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 150123614208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207042268800).

150123614208 is an abundant number, since it is smaller than the sum of its proper divisors (263960923392).

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

150123614208 is an equidigital number, since it uses as much as digits as its factorization.

150123614208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421335 (or 421313 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 150123614208 its reverse (802416321051), we get a palindrome (952539935259).

The spelling of 150123614208 in words is "one hundred fifty billion, one hundred twenty-three million, six hundred fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1024 1392 1536 1856 2048 2784 3072 3712 4096 5568 6144 7424 11136 12288 14848 22272 29696 44544 59392 89088 118784 178176 356352 421279 842558 1263837 1685116 2527674 3370232 5055348 6740464 10110696 12217091 13480928 20221392 24434182 26961856 36651273 40442784 48868364 53923712 73302546 80885568 97736728 107847424 146605092 161771136 195473456 215694848 293210184 323542272 390946912 431389696 586420368 647084544 781893824 862779392 1172840736 1294169088 1563787648 1725558784 2345681472 2588338176 3127575296 4691362944 5176676352 6255150592 9382725888 12510301184 18765451776 25020602368 37530903552 50041204736 75061807104 150123614208