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30464743120 = 24571014911097
BaseRepresentation
bin11100010111110101…
…110001011011010000
32220122010210022002021
4130113311301123100
5444342433234440
621554553101224
72125642021030
oct342765613320
986563708067
1030464743120
1111a1360a459
125aa26b7814
132b46754526
1416900638c0
15bd482a84a
hex717d716d0

30464743120 has 160 divisors (see below), whose sum is σ = 81991823616. Its totient is φ = 10311168000.

The previous prime is 30464743117. The next prime is 30464743123. The reversal of 30464743120 is 2134746403.

It is an interprime number because it is at equal distance from previous prime (30464743117) and next prime (30464743123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30464743123) 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, 27770412 + ... + 27771508.

Almost surely, 230464743120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30464743120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40995911808).

30464743120 is an abundant number, since it is smaller than the sum of its proper divisors (51527080496).

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

30464743120 is a wasteful number, since it uses less digits than its factorization.

30464743120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The spelling of 30464743120 in words is "thirty billion, four hundred sixty-four million, seven hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 101 112 140 202 280 404 491 505 560 707 808 982 1010 1097 1414 1616 1964 2020 2194 2455 2828 3437 3535 3928 4040 4388 4910 5485 5656 6874 7070 7679 7856 8080 8776 9820 10970 11312 13748 14140 15358 17185 17552 19640 21940 27496 28280 30716 34370 38395 39280 43880 49591 54992 56560 61432 68740 76790 87760 99182 110797 122864 137480 153580 198364 221594 247955 274960 307160 347137 396728 443188 495910 538627 553985 614320 694274 775579 793456 886376 991820 1077254 1107970 1388548 1551158 1735685 1772752 1983640 2154508 2215940 2693135 2777096 3102316 3471370 3770389 3877895 3967280 4309016 4431880 5386270 5554192 6204632 6942740 7540778 7755790 8618032 8863760 10772540 12409264 13885480 15081556 15511580 18851945 21545080 27770960 30163112 31023160 37703890 43090160 54401327 60326224 62046320 75407780 108802654 150815560 217605308 272006635 301631120 380809289 435210616 544013270 761618578 870421232 1088026540 1523237156 1904046445 2176053080 3046474312 3808092890 4352106160 6092948624 7616185780 15232371560 30464743120