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114381679490 = 25138913772161
BaseRepresentation
bin110101010000110101…
…1011110101110000010
3101221020110022100122122
41222201223132232002
53333223202220430
6124313552204242
711156325143141
oct1524153365602
9357213270578
10114381679490
1144566526831
121a202239682
13aa2b217070
1457710cd758
152e96b12ee5
hex1aa1adeb82

114381679490 has 64 divisors (see below), whose sum is σ = 225855514080. Its totient is φ = 41453322240.

The previous prime is 114381679483. The next prime is 114381679499. The reversal of 114381679490 is 94976183411.

It can be written as a sum of positive squares in 16 ways, for example, as 6079476841 + 108302202649 = 77971^2 + 329093^2 .

It is not an unprimeable number, because it can be changed into a prime (114381679499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1549010 + ... + 1621170.

Almost surely, 2114381679490 is an apocalyptic number.

114381679490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114381679490 is a deficient number, since it is larger than the sum of its proper divisors (111473834590).

114381679490 is a wasteful number, since it uses less digits than its factorization.

114381679490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72407.

The product of its (nonzero) digits is 1306368, while the sum is 53.

The spelling of 114381679490 in words is "one hundred fourteen billion, three hundred eighty-one million, six hundred seventy-nine thousand, four hundred ninety".

Divisors: 1 2 5 10 13 26 65 89 130 137 178 274 445 685 890 1157 1370 1781 2314 3562 5785 8905 11570 12193 17810 24386 60965 72161 121930 144322 158509 317018 360805 721610 792545 938093 1585090 1876186 4690465 6422329 9380930 9886057 12844658 19772114 32111645 49430285 64223290 83490277 98860570 128518741 166980554 257037482 417451385 642593705 834902770 879859073 1285187410 1759718146 4399295365 8798590730 11438167949 22876335898 57190839745 114381679490