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103441997376 = 263614892
BaseRepresentation
bin110000001010110011…
…1111001111001000000
3100220000001100221000000
41200111213321321000
53143322122404001
6115304241000000
710321250320164
oct1402547717100
9326001327000
10103441997376
113a962346733
121806a623000
1399a694b293
145014240ca4
152a564daa86
hex18159f9e40

103441997376 has 147 divisors (see below), whose sum is σ = 307967611521. Its totient is φ = 34457508864.

The previous prime is 103441997317. The next prime is 103441997413. The reversal of 103441997376 is 673799144301.

The square root of 103441997376 is 321624.

It is a perfect power (a square), and thus also a powerful number.

103441997376 is a `hidden beast` number, since 103 + 4 + 419 + 97 + 37 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22148582976 + 81293414400 = 148824^2 + 285120^2 .

It is a super-2 number, since 2×1034419973762 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 20 ways as a sum of consecutive naturals, for example, 69470040 + ... + 69471528.

Almost surely, 2103441997376 is an apocalyptic number.

103441997376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

103441997376 is the 321624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103441997376

103441997376 is an abundant number, since it is smaller than the sum of its proper divisors (204525614145).

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

103441997376 is an frugal number, since it uses more digits than its factorization.

103441997376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 103441997376 in words is "one hundred three billion, four hundred forty-one million, nine hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1489 1728 1944 2592 2916 2978 3888 4467 5184 5832 5956 7776 8934 11664 11912 13401 15552 17868 23328 23824 26802 35736 40203 46656 47648 53604 71472 80406 95296 107208 120609 142944 160812 214416 241218 285888 321624 361827 428832 482436 643248 723654 857664 964872 1085481 1286496 1447308 1929744 2170962 2217121 2572992 2894616 3859488 4341924 4434242 5789232 6651363 7718976 8683848 8868484 11578464 13302726 17367696 17736968 19954089 23156928 26605452 34735392 35473936 39908178 53210904 59862267 69470784 70947872 79816356 106421808 119724534 141895744 159632712 179586801 212843616 239449068 319265424 359173602 425687232 478898136 538760403 638530848 718347204 957796272 1077520806 1277061696 1436694408 1616281209 1915592544 2155041612 2873388816 3232562418 3831185088 4310083224 5746777632 6465124836 8620166448 11493555264 12930249672 17240332896 25860499344 34480665792 51720998688 103441997376