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4310023444040 = 2351967601140837
BaseRepresentation
bin111110101110000001011…
…010101001011001001000
3120021000220221111102222102
4332232001122221121020
51031103412000202130
613055555240212532
7623250253542416
oct76560132513110
916230827442872
104310023444040
111411963965816
1259738a16a148
13253583432702
1410c86b7882b6
15771a8608645
hex3eb816a9648

4310023444040 has 128 divisors (see below), whose sum is σ = 10377619862400. Its totient is φ = 1606206412800.

The previous prime is 4310023444009. The next prime is 4310023444057. The reversal of 4310023444040 is 404443200134.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4310023443994 and 4310023444012.

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, 30532502 + ... + 30673338.

It is an arithmetic number, because the mean of its divisors is an integer number (81075155175).

Almost surely, 24310023444040 is an apocalyptic number.

4310023444040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4310023444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5188809931200).

4310023444040 is an abundant number, since it is smaller than the sum of its proper divisors (6067596418360).

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

4310023444040 is a wasteful number, since it uses less digits than its factorization.

4310023444040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141535 (or 141531 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 4310023444040 its reverse (404443200134), we get a palindrome (4714466644174).

The spelling of 4310023444040 in words is "four trillion, three hundred ten billion, twenty-three million, four hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 67 76 95 134 152 190 268 335 380 536 601 670 760 1202 1273 1340 2404 2546 2680 3005 4808 5092 6010 6365 10184 11419 12020 12730 22838 24040 25460 40267 45676 50920 57095 80534 91352 114190 140837 161068 201335 228380 281674 322136 402670 456760 563348 704185 765073 805340 1126696 1408370 1530146 1610680 2675903 2816740 3060292 3825365 5351806 5633480 6120584 7650730 9436079 10703612 13379515 15301460 18872158 21407224 26759030 30602920 37744316 47180395 53518060 75488632 84643037 94360790 107036120 169286074 179285501 188721580 338572148 358571002 377443160 423215185 677144296 717142004 846430370 896427505 1434284008 1608217703 1692860740 1792855010 3216435406 3385721480 3585710020 5671083479 6432870812 7171420040 8041088515 11342166958 12865741624 16082177030 22684333916 28355417395 32164354060 45368667832 56710834790 64328708120 107750586101 113421669580 215501172202 226843339160 431002344404 538752930505 862004688808 1077505861010 2155011722020 4310023444040