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1412001840 = 243597131463
BaseRepresentation
bin101010000101001…
…0111000000110000
310122101221010101110
41110022113000300
510342433024330
6352040033320
746663550304
oct12412270060
93571833343
101412001840
11665046977
12334a62840
131966c1562
14d5757d04
1583e65db0
hex54297030

1412001840 has 160 divisors (see below), whose sum is σ = 4465714176. Its totient is φ = 369008640.

The previous prime is 1412001803. The next prime is 1412001841. The reversal of 1412001840 is 481002141.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1412001841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3049449 + ... + 3049911.

Almost surely, 21412001840 is an apocalyptic number.

1412001840 is a gapful number since it is divisible by the number (10) 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 1412001840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232857088).

1412001840 is an abundant number, since it is smaller than the sum of its proper divisors (3053712336).

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

1412001840 is a wasteful number, since it uses less digits than its factorization.

1412001840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 1412001840 is about 37576.6129394335. The cubic root of 1412001840 is about 1121.8765945979.

Adding to 1412001840 its reverse (481002141), we get a palindrome (1893003981).

The spelling of 1412001840 in words is "one billion, four hundred twelve million, one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 131 194 240 262 291 388 393 463 485 524 582 655 776 786 926 970 1048 1164 1310 1389 1455 1552 1572 1852 1940 1965 2096 2315 2328 2620 2778 2910 3144 3704 3880 3930 4630 4656 5240 5556 5820 6288 6945 7408 7760 7860 9260 10480 11112 11640 12707 13890 15720 18520 22224 23280 25414 27780 31440 37040 38121 44911 50828 55560 60653 63535 76242 89822 101656 111120 121306 127070 134733 152484 179644 181959 190605 203312 224555 242612 254140 269466 303265 304968 359288 363918 381210 449110 485224 508280 538932 606530 609936 673665 718576 727836 762420 898220 909795 970448 1016560 1077864 1213060 1347330 1455672 1524840 1796440 1819590 2155728 2426120 2694660 2911344 3049680 3592880 3639180 4852240 5389320 5883341 7278360 10778640 11766682 14556720 17650023 23533364 29416705 35300046 47066728 58833410 70600092 88250115 94133456 117666820 141200184 176500230 235333640 282400368 353000460 470667280 706000920 1412001840