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150212142022032 = 243259173102198479
BaseRepresentation
bin100010001001110111111101…
…010111011011110110010000
3201200212010210110010002212200
4202021313331113123312100
5124142033431324201112
61251250301055523200
743432316624165466
oct4211677527336620
9650763713102780
10150212142022032
1143953680170312
1214a20152529500
1365a7c375873bc
142914440d28836
151257568829cdc
hex889dfd5dbd90

150212142022032 has 120 divisors (see below), whose sum is σ = 429981708873600. Its totient is φ = 48937536793344.

The previous prime is 150212142022031. The next prime is 150212142022039. The reversal of 150212142022032 is 230220241212051.

150212142022032 is a `hidden beast` number, since 1 + 5 + 0 + 2 + 12 + 1 + 420 + 220 + 3 + 2 = 666.

It is a super-2 number, since 2×1502121420220322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150212142021987 and 150212142022005.

It is not an unprimeable number, because it can be changed into a prime (150212142022031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49629432 + ... + 52569047.

It is an arithmetic number, because the mean of its divisors is an integer number (3583180907280).

Almost surely, 2150212142022032 is an apocalyptic number.

150212142022032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

150212142022032 is an abundant number, since it is smaller than the sum of its proper divisors (279769566851568).

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

150212142022032 is a wasteful number, since it uses less digits than its factorization.

150212142022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102198725 (or 102198716 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 150212142022032 its reverse (230220241212051), we get a palindrome (380432383234083).

The spelling of 150212142022032 in words is "one hundred fifty trillion, two hundred twelve billion, one hundred forty-two million, twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 173 177 236 346 354 472 519 531 692 708 944 1038 1062 1384 1416 1557 2076 2124 2768 2832 3114 4152 4248 6228 8304 8496 10207 12456 20414 24912 30621 40828 61242 81656 91863 122484 163312 183726 244968 367452 489936 734904 1469808 102198479 204396958 306595437 408793916 613190874 817587832 919786311 1226381748 1635175664 1839572622 2452763496 3679145244 4905526992 6029710261 7358290488 12059420522 14716580976 17680336867 18089130783 24118841044 35360673734 36178261566 48237682088 53041010601 54267392349 70721347468 72356523132 96475364176 106082021202 108534784698 141442694936 144713046264 159123031803 212164042404 217069569396 282885389872 289426092528 318246063606 424328084808 434139138792 636492127212 848656169616 868278277584 1043139875153 1272984254424 2086279750306 2545968508848 3129419625459 4172559500612 6258839250918 8345119001224 9388258876377 12517678501836 16690238002448 18776517752754 25035357003672 37553035505508 50070714007344 75106071011016 150212142022032