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103480241424 = 24371931522881
BaseRepresentation
bin110000001011111100…
…1110010110100010000
3100220002201022220222020
41200113321302310100
53143411420211144
6115312124411440
710322223352650
oct1402771626420
9326081286866
10103480241424
113a981997a8a
121807b3a6b80
1399b184b7b1
145019358360
152a59a42419
hex1817e72d10

103480241424 has 160 divisors (see below), whose sum is σ = 331967324160. Its totient is φ = 27106099200.

The previous prime is 103480241351. The next prime is 103480241497. The reversal of 103480241424 is 424142084301.

It is an interprime number because it is at equal distance from previous prime (103480241351) and next prime (103480241497).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63537 + ... + 459344.

It is an arithmetic number, because the mean of its divisors is an integer number (2074795776).

Almost surely, 2103480241424 is an apocalyptic number.

103480241424 is a gapful number since it is divisible by the number (14) 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 103480241424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165983662080).

103480241424 is an abundant number, since it is smaller than the sum of its proper divisors (228487082736).

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

103480241424 is a wasteful number, since it uses less digits than its factorization.

103480241424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522949 (or 522943 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 103480241424 in words is "one hundred three billion, four hundred eighty million, two hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 31 38 42 48 56 57 62 76 84 93 112 114 124 133 152 168 186 217 228 248 266 304 336 372 399 434 456 496 532 589 651 744 798 868 912 1064 1178 1302 1488 1596 1736 1767 2128 2356 2604 3192 3472 3534 4123 4712 5208 6384 7068 8246 9424 10416 12369 14136 16492 24738 28272 32984 49476 65968 98952 197904 522881 1045762 1568643 2091524 3137286 3660167 4183048 6274572 7320334 8366096 9934739 10980501 12549144 14640668 16209311 19869478 21961002 25098288 29281336 29804217 32418622 39738956 43922004 48627933 58562672 59608434 64837244 69543173 79477912 87844008 97255866 113465177 119216868 129674488 139086346 158955824 175688016 194511732 208629519 226930354 238433736 259348976 278172692 307976909 340395531 389023464 417259038 453860708 476867472 556345384 615953818 680791062 778046928 834518076 907721416 923930727 1112690768 1231907636 1361582124 1669036152 1815442832 1847861454 2155838363 2463815272 2723164248 3338072304 3695722908 4311676726 4927630544 5446328496 6467515089 7391445816 8623353452 12935030178 14782891632 17246706904 25870060356 34493413808 51740120712 103480241424