Search a number
-
+
1319998996872 = 233417401298817
BaseRepresentation
bin10011001101010110000…
…100100100000110001000
311200012010222222202110000
4103031112010210012020
5133111324220344442
62450222115323000
7164236543226613
oct23152604440610
94605128882400
101319998996872
11469899026586
121939a8bb0460
13976245105ba
1447c6168d17a
1524509a43d4c
hex13356124188

1319998996872 has 160 divisors (see below), whose sum is σ = 3924478392120. Its totient is φ = 413083238400.

The previous prime is 1319998996871. The next prime is 1319998996909. The reversal of 1319998996872 is 2786998999131.

1319998996872 is a `hidden beast` number, since 1 + 319 + 9 + 98 + 99 + 68 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1314155005956 + 5843990916 = 1146366^2 + 76446^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 1319998996791 and 1319998996800.

It is not an unprimeable number, because it can be changed into a prime (1319998996871) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4268008 + ... + 4566824.

Almost surely, 21319998996872 is an apocalyptic number.

1319998996872 is a gapful number since it is divisible by the number (12) 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 1319998996872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962239196060).

1319998996872 is an abundant number, since it is smaller than the sum of its proper divisors (2604479395248).

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

1319998996872 is a wasteful number, since it uses less digits than its factorization.

1319998996872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299253 (or 299240 counting only the distinct ones).

The product of its digits is 952342272, while the sum is 81.

The spelling of 1319998996872 in words is "one trillion, three hundred nineteen billion, nine hundred ninety-eight million, nine hundred ninety-six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 401 408 459 612 648 802 918 1203 1224 1377 1604 1836 2406 2754 3208 3609 3672 4812 5508 6817 7218 9624 10827 11016 13634 14436 20451 21654 27268 28872 32481 40902 43308 54536 61353 64962 81804 86616 122706 129924 163608 184059 245412 259848 298817 368118 490824 552177 597634 736236 896451 1104354 1195268 1472472 1792902 2208708 2390536 2689353 3585804 4417416 5079889 5378706 7171608 8068059 10159778 10757412 15239667 16136118 20319556 21514824 24204177 30479334 32272236 40639112 45719001 48408354 60958668 64544472 91438002 96816708 119825617 121917336 137157003 182876004 193633416 239651234 274314006 359476851 365752008 411471009 479302468 548628012 718953702 822942018 958604936 1078430553 1097256024 1437907404 1645884036 2037035489 2156861106 2875814808 3235291659 3291768072 4074070978 4313722212 6111106467 6470583318 8148141956 8627444424 9705874977 12222212934 12941166636 16296283912 18333319401 19411749954 24444425868 25882333272 36666638802 38823499908 48888851736 54999958203 73333277604 77646999816 109999916406 146666555208 164999874609 219999832812 329999749218 439999665624 659999498436 1319998996872