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150211354304 = 26112367138461
BaseRepresentation
bin1000101111100101001…
…0110101111011000000
3112100201111011102110202
42023321102311323000
54430113101314204
6153001154344332
713565243305364
oct2137122657300
9470644142422
10150211354304
1158782436830
122514158b0a8
131121b2b088b
1473ad88b2a4
153d9242ce1e
hex22f94b5ec0

150211354304 has 112 divisors (see below), whose sum is σ = 344378255616. Its totient is φ = 64334054400.

The previous prime is 150211354301. The next prime is 150211354309. The reversal of 150211354304 is 403453112051.

150211354304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (150211354301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1015634 + ... + 1154094.

Almost surely, 2150211354304 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 150211354304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172189127808).

150211354304 is an abundant number, since it is smaller than the sum of its proper divisors (194166901312).

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

150211354304 is a wasteful number, since it uses less digits than its factorization.

150211354304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138574 (or 138564 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 150211354304 its reverse (403453112051), we get a palindrome (553664466355).

The spelling of 150211354304 in words is "one hundred fifty billion, two hundred eleven million, three hundred fifty-four thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 67 88 92 134 176 184 253 268 352 368 506 536 704 736 737 1012 1072 1472 1474 1541 2024 2144 2948 3082 4048 4288 5896 6164 8096 11792 12328 16192 16951 23584 24656 33902 47168 49312 67804 98624 135608 138461 271216 276922 542432 553844 1084864 1107688 1523071 2215376 3046142 3184603 4430752 6092284 6369206 8861504 9276887 12184568 12738412 18553774 24369136 25476824 35030633 37107548 48738272 50953648 70061266 74215096 97476544 101907296 102045757 140122532 148430192 203814592 204091514 213368401 280245064 296860384 408183028 426736802 560490128 593720768 816366056 853473604 1120980256 1632732112 1706947208 2241960512 2347052411 3265464224 3413894416 4694104822 6530928448 6827788832 9388209644 13655577664 18776419288 37552838576 75105677152 150211354304