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30153240540 = 223251914596043
BaseRepresentation
bin11100000101010001…
…011110111111011100
32212211102122022212200
4130011101132333130
5443223212144130
621504024331500
72115140213163
oct340521367734
985742568780
1030153240540
1111873799a05
125a16313b90
132ac7059c87
1416609383da
15bb72e8760
hex70545efdc

30153240540 has 144 divisors (see below), whose sum is σ = 96360700800. Its totient is φ = 7611179904.

The previous prime is 30153240517. The next prime is 30153240547. The reversal of 30153240540 is 4504235103.

30153240540 is a `hidden beast` number, since 30 + 1 + 53 + 2 + 40 + 540 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30153240547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4986759 + ... + 4992801.

Almost surely, 230153240540 is an apocalyptic number.

30153240540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30153240540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48180350400).

30153240540 is an abundant number, since it is smaller than the sum of its proper divisors (66207460260).

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

30153240540 is a wasteful number, since it uses less digits than its factorization.

30153240540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7536 (or 7531 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 30153240540 its reverse (4504235103), we get a palindrome (34657475643).

The spelling of 30153240540 in words is "thirty billion, one hundred fifty-three million, two hundred forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1459 1710 2918 3420 4377 5836 6043 7295 8754 12086 13131 14590 17508 18129 21885 24172 26262 27721 29180 30215 36258 43770 52524 54387 55442 60430 65655 72516 83163 87540 90645 108774 110884 114817 120860 131310 138605 166326 181290 217548 229634 249489 262620 271935 277210 332652 344451 362580 415815 459268 498978 543870 554420 574085 688902 831630 997956 1033353 1087740 1148170 1247445 1377804 1663260 1722255 2066706 2296340 2494890 3444510 4133412 4989780 5166765 6889020 8816737 10333530 17633474 20667060 26450211 35266948 44083685 52900422 79350633 88167370 105800844 132251055 158701266 167518003 176334740 264502110 317402532 335036006 396753165 502554009 529004220 670072012 793506330 837590015 1005108018 1507662027 1587012660 1675180030 2010216036 2512770045 3015324054 3350360060 5025540090 6030648108 7538310135 10051080180 15076620270 30153240540