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40001317764 = 223172813072273
BaseRepresentation
bin100101010000010000…
…111010101110000100
310211020202112111010120
4211100100322232010
51123410314132024
630213143021540
72614161406452
oct452020725604
9124222474116
1040001317764
1115a67779101
12790443a8b0
133a064242c5
141d168319d2
151091b97479
hex95043ab84

40001317764 has 96 divisors (see below), whose sum is σ = 99545314176. Its totient is φ = 12458557440.

The previous prime is 40001317723. The next prime is 40001317787. The reversal of 40001317764 is 46771310004.

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, 17597332 + ... + 17599604.

It is an arithmetic number, because the mean of its divisors is an integer number (1036930356).

Almost surely, 240001317764 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 40001317764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49772657088).

40001317764 is an abundant number, since it is smaller than the sum of its proper divisors (59543996412).

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

40001317764 is a wasteful number, since it uses less digits than its factorization.

40001317764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

Adding to 40001317764 its reverse (46771310004), we get a palindrome (86772627768).

The spelling of 40001317764 in words is "forty billion, one million, three hundred seventeen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 281 307 562 614 843 921 1124 1228 1686 1842 2273 3372 3684 4546 4777 5219 6819 9092 9554 10438 13638 14331 15657 19108 20876 27276 28662 31314 38641 57324 62628 77282 86267 115923 154564 172534 231846 258801 345068 463692 517602 638713 697811 1035204 1277426 1395622 1466539 1916139 2093433 2554852 2791244 2933078 3832278 4186866 4399617 5866156 7664556 8373732 8799234 10858121 11862787 17598468 21716242 23725574 32574363 35588361 43432484 47451148 65148726 71176722 130297452 142353444 196084891 392169782 588254673 784339564 1176509346 2353018692 3333443147 6666886294 10000329441 13333772588 20000658882 40001317764