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148962442300 = 225274118612789
BaseRepresentation
bin1000101010111011011…
…0100111110000111100
3112020111110010010021121
42022232312213300330
54420033341123200
6152233222040324
713522266603460
oct2125666476074
9466443103247
10148962442300
11581a1462751
1224a532790a4
131107c6222a9
1472d1a684a0
153d1c97ee1a
hex22aeda7c3c

148962442300 has 144 divisors (see below), whose sum is σ = 378776381760. Its totient is φ = 49782528000.

The previous prime is 148962442247. The next prime is 148962442309. The reversal of 148962442300 is 3244269841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148962442309) 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, 53409306 + ... + 53412094.

It is an arithmetic number, because the mean of its divisors is an integer number (2630391540).

Almost surely, 2148962442300 is an apocalyptic number.

148962442300 is a gapful number since it is divisible by the number (10) 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 148962442300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189388190880).

148962442300 is an abundant number, since it is smaller than the sum of its proper divisors (229813939460).

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

148962442300 is a wasteful number, since it uses less digits than its factorization.

148962442300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4712 (or 4705 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 148962442300 in words is "one hundred forty-eight billion, nine hundred sixty-two million, four hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 287 350 410 574 700 820 1025 1148 1435 1861 2050 2789 2870 3722 4100 5578 5740 7175 7444 9305 11156 13027 13945 14350 18610 19523 26054 27890 28700 37220 39046 46525 52108 55780 65135 69725 76301 78092 93050 97615 114349 130270 139450 152602 186100 195230 228698 260540 278900 305204 325675 381505 390460 457396 488075 534107 571745 651350 763010 800443 976150 1068214 1143490 1302700 1526020 1600886 1907525 1952300 2136428 2286980 2670535 2858725 3201772 3815050 4002215 5190329 5341070 5717450 7630100 8004430 10380658 10682140 11434900 13352675 16008860 20011075 20761316 25951645 26705350 36332303 40022150 51903290 53410700 72664606 80044300 103806580 129758225 145329212 181661515 212803489 259516450 363323030 425606978 519032900 726646060 851213956 908307575 1064017445 1489624423 1816615150 2128034890 2979248846 3633230300 4256069780 5320087225 5958497692 7448122115 10640174450 14896244230 21280348900 29792488460 37240610575 74481221150 148962442300