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30681349440 = 263574565677
BaseRepresentation
bin11100100100110000…
…000011110101000000
32221012020101001002120
4130210300003311000
51000313411140230
622032251444240
72134212111240
oct344460036500
987166331076
1030681349440
1112014904a45
125b43156680
132b7c5a4351
1416b0b29b20
15be8865310
hex724c03d40

30681349440 has 112 divisors (see below), whose sum is σ = 111329492352. Its totient is φ = 7012878336.

The previous prime is 30681349423. The next prime is 30681349451. The reversal of 30681349440 is 4494318603.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 30681349392 and 30681349401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2276119 + ... + 2289558.

Almost surely, 230681349440 is an apocalyptic number.

30681349440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30681349440 is an abundant number, since it is smaller than the sum of its proper divisors (80648142912).

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

30681349440 is a wasteful number, since it uses less digits than its factorization.

30681349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4565704 (or 4565694 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 30681349440 in words is "thirty billion, six hundred eighty-one million, three hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 4565677 9131354 13697031 18262708 22828385 27394062 31959739 36525416 45656770 54788124 63919478 68485155 73050832 91313540 95879217 109576248 127838956 136970310 146101664 159798695 182627080 191758434 219152496 255677912 273940620 292203328 319597390 365254160 383516868 438304992 479396085 511355824 547881240 639194780 730508320 767033736 876609984 958792170 1022711648 1095762480 1278389560 1461016640 1534067472 1917584340 2045423296 2191524960 2556779120 3068134944 3835168680 4383049920 5113558240 6136269888 7670337360 10227116480 15340674720 30681349440