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30144061602 = 23319239911289
BaseRepresentation
bin11100000100101110…
…011110000010100010
32212210210100222202000
4130010232132002202
5443213334432402
621503055504430
72114666203344
oct340456360242
985723328660
1030144061602
111186959a706
125a13228116
132ac5195055
14165d629294
15bb65d3c1c
hex704b9e0a2

30144061602 has 128 divisors (see below), whose sum is σ = 73709568000. Its totient is φ = 9089055360.

The previous prime is 30144061601. The next prime is 30144061603. The reversal of 30144061602 is 20616044103.

30144061602 is a `hidden beast` number, since 3 + 0 + 1 + 4 + 40 + 616 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (30144061601) and next prime (30144061603).

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

It is not an unprimeable number, because it can be changed into a prime (30144061601) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23384974 + ... + 23386262.

It is an arithmetic number, because the mean of its divisors is an integer number (575856000).

Almost surely, 230144061602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30144061602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36854784000).

30144061602 is an abundant number, since it is smaller than the sum of its proper divisors (43565506398).

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

30144061602 is a wasteful number, since it uses less digits than its factorization.

30144061602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 30144061602 in words is "thirty billion, one hundred forty-four million, sixty-one thousand, six hundred two".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 114 138 171 207 342 414 437 513 621 874 991 1026 1242 1289 1311 1982 2578 2622 2973 3867 3933 5946 7734 7866 8919 11601 11799 17838 18829 22793 23202 23598 24491 26757 29647 34803 37658 45586 48982 53514 56487 59294 68379 69606 73473 88941 112974 136758 146946 169461 177882 205137 220419 266823 338922 410274 433067 440838 508383 533646 563293 615411 661257 800469 866134 1016766 1126586 1230822 1277399 1299201 1322514 1600938 1689879 2554798 2598402 3379758 3832197 3897603 5069637 7664394 7795206 10139274 11496591 11692809 15208911 22993182 23385618 24270581 29380177 30417822 34489773 48541162 58760354 68979546 72811743 88140531 145623486 176281062 218435229 264421593 436870458 528843186 558223363 655305687 793264779 1116446726 1310611374 1586529558 1674670089 3349340178 5024010267 10048020534 15072030801 30144061602