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4244213310040 = 23511233137133691
BaseRepresentation
bin111101110000101110110…
…100111010001001011000
3120000202001112010020202001
4331300232310322021120
51024014122101410130
613005433100450344
7615430363615504
oct75605664721130
916022045106661
104244213310040
111396a62849020
125866825499b4
1324a2c6056212
141095c73cb304
1575605c746ca
hex3dc2ed3a258

4244213310040 has 128 divisors (see below), whose sum is σ = 10874100856320. Its totient is φ = 1475766476800.

The previous prime is 4244213310013. The next prime is 4244213310097. The reversal of 4244213310040 is 400133124424.

It is a super-2 number, since 2×42442133100402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4244213309990 and 4244213310008.

It is a congruent number.

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, 31679595 + ... + 31813285.

It is an arithmetic number, because the mean of its divisors is an integer number (84953912940).

Almost surely, 24244213310040 is an apocalyptic number.

4244213310040 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 4244213310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5437050428160).

4244213310040 is an abundant number, since it is smaller than the sum of its proper divisors (6629887546280).

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

4244213310040 is a wasteful number, since it uses less digits than its factorization.

4244213310040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136873 (or 136869 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4244213310040 its reverse (400133124424), we get a palindrome (4644346434464).

The spelling of 4244213310040 in words is "four trillion, two hundred forty-four billion, two hundred thirteen million, three hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 3137 5060 6274 10120 12548 15685 25096 31370 34507 62740 69014 72151 125480 133691 138028 144302 172535 267382 276056 288604 345070 360755 534764 577208 668455 690140 721510 793661 1069528 1336910 1380280 1443020 1470601 1587322 2673820 2886040 2941202 3074893 3174644 3968305 5347640 5882404 6149786 6349288 7353005 7936610 11764808 12299572 14706010 15374465 15873220 24599144 29412020 30748930 31746440 33823823 58824040 61497860 67647646 122995720 135295292 169119115 270590584 338238230 419388667 676476460 838777334 1352952920 1677554668 2096943335 3355109336 4193886670 4613275337 8387773340 9226550674 9645939341 16775546680 18453101348 19291878682 23066376685 36906202696 38583757364 46132753370 48229696705 77167514728 92265506740 96459393410 106105332751 184531013480 192918786820 212210665502 385837573640 424421331004 530526663755 848842662008 1061053327510 2122106655020 4244213310040