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40001166150 = 235211210121821
BaseRepresentation
bin100101010000010000…
…010101101101000110
310211020202020210011020
4211100100111231012
51123410244304100
630213135452010
72614160205441
oct452020255506
9124222223136
1040001166150
1115a67685200
127904387006
133a063a02aa
141d167d2658
151091b675a0
hex950415b46

40001166150 has 144 divisors (see below), whose sum is σ = 110125857744. Its totient is φ = 9600800000.

The previous prime is 40001166131. The next prime is 40001166181. The reversal of 40001166150 is 5166110004.

It is a self number, because there is not a number n which added to its sum of digits gives 40001166150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1822240 + ... + 1844060.

It is an arithmetic number, because the mean of its divisors is an integer number (764762901).

Almost surely, 240001166150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40001166150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55062928872).

40001166150 is an abundant number, since it is smaller than the sum of its proper divisors (70124691594).

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

40001166150 is a wasteful number, since it uses less digits than its factorization.

40001166150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21959 (or 21943 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 40001166150 its reverse (5166110004), we get a palindrome (45167276154).

The spelling of 40001166150 in words is "forty billion, one million, one hundred sixty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 101 110 121 150 165 202 242 275 303 330 363 505 550 605 606 726 825 1010 1111 1210 1515 1650 1815 2222 2525 3025 3030 3333 3630 5050 5555 6050 6666 7575 9075 11110 12221 15150 16665 18150 21821 24442 27775 33330 36663 43642 55550 61105 65463 73326 83325 109105 122210 130926 166650 183315 218210 240031 305525 327315 366630 480062 545525 611050 654630 720093 916575 1091050 1200155 1440186 1636575 1833150 2203921 2400310 2640341 3273150 3600465 4407842 5280682 6000775 6611763 7200930 7921023 11019605 12001550 13201705 13223526 15842046 18002325 22039210 24243131 26403410 33058815 36004650 39605115 48486262 55098025 66008525 66117630 72729393 79210230 110196050 121215655 132017050 145458786 165294075 198025575 242431310 266674441 330588150 363646965 396051150 533348882 606078275 727293930 800023323 1212156550 1333372205 1600046646 1818234825 2666744410 3636469650 4000116615 6666861025 8000233230 13333722050 20000583075 40001166150