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4114054522340 = 2257971671814069
BaseRepresentation
bin111011110111100000110…
…000100010010111100100
3112120022002112101202100022
4323313200300202113210
51014401040424203330
612425545350134312
7603142051311320
oct73674060422744
915508075352308
104114054522340
111346840585394
125653b8651398
1323ac522c6989
1410319abca980
1572038ee7ae5
hex3bde0c225e4

4114054522340 has 96 divisors (see below), whose sum is σ = 10035261089280. Its totient is φ = 1387631407104.

The previous prime is 4114054522337. The next prime is 4114054522397. The reversal of 4114054522340 is 432254504114.

It is a happy number.

4114054522340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41140545223402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4114054522340.

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, 1360826 + ... + 3174894.

It is an arithmetic number, because the mean of its divisors is an integer number (104533969680).

Almost surely, 24114054522340 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 4114054522340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017630544640).

4114054522340 is an abundant number, since it is smaller than the sum of its proper divisors (5921206566940).

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

4114054522340 is a wasteful number, since it uses less digits than its factorization.

4114054522340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814349 (or 1814347 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 4114054522340 in words is "four trillion, one hundred fourteen billion, fifty-four million, five hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 97 140 167 194 334 388 485 668 679 835 970 1169 1358 1670 1940 2338 2716 3340 3395 4676 5845 6790 11690 13580 16199 23380 32398 64796 80995 113393 161990 226786 323980 453572 566965 1133930 1814069 2267860 3628138 7256276 9070345 12698483 18140690 25396966 36281380 50793932 63492415 126984830 175964693 253969660 302949523 351929386 605899046 703858772 879823465 1211798092 1231752851 1514747615 1759646930 2120646661 2463505702 3029495230 3519293860 4241293322 4927011404 6058990460 6158764255 8482586644 10603233305 12317528510 21206466610 24635057020 29386103731 42412933220 58772207462 117544414924 146930518655 205702726117 293861037310 411405452234 587722074620 822810904468 1028513630585 2057027261170 4114054522340