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40000001040 = 2433523805153
BaseRepresentation
bin100101010000001011…
…111001010000010000
310211020200001120221000
4211100023321100100
51123410000013130
630213054502000
72614144253556
oct452013712020
9124220046830
1040000001040
1115a66a598aa
127903b04900
133a06082b8c
141d165abbd6
1510919d7260
hex9502f9410

40000001040 has 160 divisors (see below), whose sum is σ = 143768298240. Its totient is φ = 10202886144.

The previous prime is 40000001039. The next prime is 40000001051. The reversal of 40000001040 is 4010000004.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352897 + ... + 452256.

It is an arithmetic number, because the mean of its divisors is an integer number (898551864).

Almost surely, 240000001040 is an apocalyptic number.

40000001040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40000001040 is an abundant number, since it is smaller than the sum of its proper divisors (103768297200).

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

40000001040 is a wasteful number, since it uses less digits than its factorization.

40000001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805198 (or 805186 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 40000001040 its reverse (4010000004), we get a palindrome (44010001044).

The spelling of 40000001040 in words is "forty billion, one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 1035 1080 1104 1242 1380 1656 1840 2070 2160 2484 2760 3105 3312 4140 4968 5520 6210 8280 9936 12420 16560 24840 49680 805153 1610306 2415459 3220612 4025765 4830918 6441224 7246377 8051530 9661836 12077295 12882448 14492754 16103060 18518519 19323672 21739131 24154590 28985508 32206120 36231885 37037038 38647344 43478262 48309180 55555557 57971016 64412240 72463770 74074076 86956524 92592595 96618360 108695655 111111114 115942032 144927540 148148152 166666671 173913048 185185190 193236720 217391310 222222228 277777785 289855080 296296304 333333342 347826096 370370380 434782620 444444456 500000013 555555570 579710160 666666684 740740760 833333355 869565240 888888912 1000000026 1111111140 1333333368 1481481520 1666666710 1739130480 2000000052 2222222280 2500000065 2666666736 3333333420 4000000104 4444444560 5000000130 6666666840 8000000208 10000000260 13333333680 20000000520 40000001040