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150835029142212 = 223247719133137477
BaseRepresentation
bin100010010010111100000100…
…010101001110101011000100
3201210001200120112010022221200
4202102330010111032223010
5124232240114430022322
61252444353352342500
743525320430305432
oct4222740425165304
9653050515108850
10150835029142212
114407385a764a68
1214b00a0a0a4a30
1366218b3aa096c
142936650ab5d52
151268872b0b8ac
hex892f0454eac4

150835029142212 has 144 divisors (see below), whose sum is σ = 394920191457792. Its totient is φ = 48509847348480.

The previous prime is 150835029142211. The next prime is 150835029142229. The reversal of 150835029142212 is 212241920538051.

It is a happy number.

150835029142212 is a `hidden beast` number, since 1 + 5 + 0 + 8 + 3 + 502 + 91 + 42 + 2 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (150835029142211) 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, 1097096818 + ... + 1097234294.

It is an arithmetic number, because the mean of its divisors is an integer number (2742501329568).

Almost surely, 2150835029142212 is an apocalyptic number.

150835029142212 is a gapful number since it is divisible by the number (12) 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 150835029142212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197460095728896).

150835029142212 is an abundant number, since it is smaller than the sum of its proper divisors (244085162315580).

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

150835029142212 is a wasteful number, since it uses less digits than its factorization.

150835029142212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146738 (or 146733 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 150835029142212 in words is "one hundred fifty trillion, eight hundred thirty-five billion, twenty-nine million, one hundred forty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 47 71 94 141 142 188 213 282 284 423 426 564 639 846 852 1278 1692 2556 3337 6674 9133 10011 13348 18266 20022 27399 30033 36532 40044 54798 60066 82197 109596 120132 137477 164394 274954 328788 412431 429251 549908 648443 824862 858502 1237293 1287753 1296886 1649724 1717004 1945329 2474586 2575506 2593772 3863259 3890658 4949172 5151012 5835987 6461419 7726518 7781316 9760867 11671974 12922838 15453036 19384257 19521734 23343948 25845676 29282601 30476821 38768514 39043468 58152771 58565202 60953642 77537028 87847803 91430463 116305542 117130404 121907284 175695606 182860926 232611084 274291389 351391212 365721852 458760749 548582778 917521498 1097165556 1255577441 1376282247 1835042996 2511154882 2752564494 3766732323 4128846741 5022309764 5505128988 7533464646 8257693482 11300196969 15066929292 16515386964 22600393938 45200787876 59012139727 89145998311 118024279454 177036419181 178291996622 236048558908 267437994933 354072838362 356583993244 531109257543 534875989866 708145676724 802313984799 1062218515086 1069751979732 1604627969598 2124437030172 3209255939196 4189861920617 8379723841234 12569585761851 16759447682468 25139171523702 37708757285553 50278343047404 75417514571106 150835029142212