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34400124130470 = 23572371100312379
BaseRepresentation
bin1111101001001011001110…
…01011011101010010100110
311111210121201210112022101220
413310211213023131102212
514002102423234133340
6201055110542001210
710150220100366630
oct764454713352246
9144717653468356
1034400124130470
11aa6301329808a
123a36b83b76206
131626bc14b7ca7
1486cd91161a50
153e9c5d4ebed0
hex1f49672dd4a6

34400124130470 has 128 divisors (see below), whose sum is σ = 99843720560640. Its totient is φ = 7415090981760.

The previous prime is 34400124130439. The next prime is 34400124130481. The reversal of 34400124130470 is 7403142100443.

It is a super-4 number, since 4×344001241304704 (a number of 55 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49813260 + ... + 50499119.

It is an arithmetic number, because the mean of its divisors is an integer number (780029066880).

Almost surely, 234400124130470 is an apocalyptic number.

34400124130470 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34400124130470 is an abundant number, since it is smaller than the sum of its proper divisors (65443596430170).

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

34400124130470 is a wasteful number, since it uses less digits than its factorization.

34400124130470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100312490.

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 34400124130470 in words is "thirty-four trillion, four hundred billion, one hundred twenty-four million, one hundred thirty thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 71 105 115 138 142 161 210 213 230 322 345 355 426 483 497 690 710 805 966 994 1065 1491 1610 1633 2130 2415 2485 2982 3266 4830 4899 4970 7455 8165 9798 11431 14910 16330 22862 24495 34293 48990 57155 68586 114310 171465 342930 100312379 200624758 300937137 501561895 601874274 702186653 1003123790 1404373306 1504685685 2106559959 2307184717 3009371370 3510933265 4213119918 4614369434 6921554151 7021866530 7122178909 10532799795 11535923585 13843108302 14244357818 16150293019 21065599590 21366536727 23071847170 32300586038 34607770755 35610894545 42733073454 48450879057 49855252363 69215541510 71221789090 80751465095 96901758114 99710504726 106832683635 149565757089 161502930190 163810114907 213665367270 242254395285 249276261815 299131514178 327620229814 484508790570 491430344721 498552523630 747828785445 819050574535 982860689442 1146670804349 1495657570890 1638101149070 2293341608698 2457151723605 3440012413047 4914303447210 5733354021745 6880024826094 11466708043490 17200062065235 34400124130470