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30061240128 = 263383209597
BaseRepresentation
bin11011111111110010…
…100001111101000000
32212121000112020001000
4123333302201331000
5443031134141003
621450540412000
72112642216333
oct337762417500
985530466030
1030061240128
1111826871707
1259ab547000
132ab0c8766a
14165262a61a
15bae1c41a3
hex6ffca1f40

30061240128 has 112 divisors (see below), whose sum is σ = 89439658560. Its totient is φ = 9899638272.

The previous prime is 30061240117. The next prime is 30061240129. The reversal of 30061240128 is 82104216003.

30061240128 is a `hidden beast` number, since 3 + 0 + 0 + 612 + 40 + 1 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30061240129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38626 + ... + 248222.

It is an arithmetic number, because the mean of its divisors is an integer number (798568380).

Almost surely, 230061240128 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 30061240128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44719829280).

30061240128 is an abundant number, since it is smaller than the sum of its proper divisors (59378418432).

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

30061240128 is a wasteful number, since it uses less digits than its factorization.

30061240128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209701 (or 209685 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 30061240128 in words is "thirty billion, sixty-one million, two hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 144 166 192 216 249 288 332 432 498 576 664 747 864 996 1328 1494 1728 1992 2241 2656 2988 3984 4482 5312 5976 7968 8964 11952 15936 17928 23904 35856 47808 71712 143424 209597 419194 628791 838388 1257582 1676776 1886373 2515164 3353552 3772746 5030328 5659119 6707104 7545492 10060656 11318238 13414208 15090984 17396551 20121312 22636476 30181968 34793102 40242624 45272952 52189653 60363936 69586204 90545904 104379306 120727872 139172408 156568959 181091808 208758612 278344816 313137918 362183616 417517224 469706877 556689632 626275836 835034448 939413754 1113379264 1252551672 1670068896 1878827508 2505103344 3340137792 3757655016 5010206688 7515310032 10020413376 15030620064 30061240128