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30090453156 = 22342324192
BaseRepresentation
bin11100000001100001…
…111110000010100100
32212200001111101210000
4130001201332002210
5443111124000111
621453502501300
72113445426451
oct340141760244
985601441700
1030090453156
1111841304905
1259b9294830
132ab704538a
141656472828
15bb1a44c56
hex70187e0a4

30090453156 has 135 divisors (see below), whose sum is σ = 82427916571. Its totient is φ = 9571160016.

The previous prime is 30090453143. The next prime is 30090453161. The reversal of 30090453156 is 65135409003.

The square root of 30090453156 is 173466.

It is a perfect power (a square), and thus also a powerful number.

30090453156 is a `hidden beast` number, since 30 + 0 + 90 + 4 + 531 + 5 + 6 = 666.

It is a super-2 number, since 2×300904531562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 30090453156.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 71814715 + ... + 71815133.

Almost surely, 230090453156 is an apocalyptic number.

30090453156 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30090453156 is the 173466-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30090453156

30090453156 is an abundant number, since it is smaller than the sum of its proper divisors (52337463415).

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

30090453156 is an equidigital number, since it uses as much as digits as its factorization.

30090453156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Multiplying 30090453156 by its sum of digits (36), we get a square (1083256313616 = 10407962).

30090453156 divided by its sum of digits (36) gives a square (835845921 = 289112).

The spelling of 30090453156 in words is "thirty billion, ninety million, four hundred fifty-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 419 529 621 828 838 1058 1242 1257 1587 1676 1863 2116 2484 2514 3174 3726 3771 4761 5028 6348 7452 7542 9522 9637 11313 14283 15084 19044 19274 22626 28566 28911 33939 38548 42849 45252 57132 57822 67878 85698 86733 115644 135756 171396 173466 175561 221651 260199 346932 351122 443302 520398 526683 664953 702244 780597 886604 1040796 1053366 1329906 1561194 1580049 1994859 2106732 2659812 3122388 3160098 3989718 4037903 4740147 5984577 6320196 7979436 8075806 9480294 11969154 12113709 14220441 16151612 17953731 18960588 23938308 24227418 28440882 35907462 36341127 48454836 56881764 71814924 72682254 92871769 109023381 145364508 185743538 218046762 278615307 327070143 371487076 436093524 557230614 654140286 835845921 1114461228 1308280572 1671691842 2507537763 3343383684 5015075526 7522613289 10030151052 15045226578 30090453156