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148355841024 = 2103229555091
BaseRepresentation
bin1000101000101010110…
…0100111110000000000
3112011221011200120202200
42022022230213300000
54412313043403044
6152053112313200
713501252561566
oct2121254476000
9464834616680
10148355841024
1157a10006186
12249040a2800
1310cb3a54b21
147275283a36
153cd45ab369
hex228ab27c00

148355841024 has 132 divisors (see below), whose sum is σ = 443146596360. Its totient is φ = 47746621440.

The previous prime is 148355841017. The next prime is 148355841031. The reversal of 148355841024 is 420148553841.

148355841024 is a `hidden beast` number, since 1 + 4 + 8 + 35 + 584 + 10 + 24 = 666.

148355841024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (148355841017) and next prime (148355841031).

It is a super-2 number, since 2×1483558410242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10282 + ... + 544809.

Almost surely, 2148355841024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148355841024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221573298180).

148355841024 is an abundant number, since it is smaller than the sum of its proper divisors (294790755336).

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

148355841024 is a wasteful number, since it uses less digits than its factorization.

148355841024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555146 (or 555125 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 148355841024 in words is "one hundred forty-eight billion, three hundred fifty-five million, eight hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 512 522 576 696 768 928 1024 1044 1152 1392 1536 1856 2088 2304 2784 3072 3712 4176 4608 5568 7424 8352 9216 11136 14848 16704 22272 29696 33408 44544 66816 89088 133632 267264 555091 1110182 1665273 2220364 3330546 4440728 4995819 6661092 8881456 9991638 13322184 16097639 17762912 19983276 26644368 32195278 35525824 39966552 48292917 53288736 64390556 71051648 79933104 96585834 106577472 128781112 142103296 144878751 159866208 193171668 213154944 257562224 284206592 289757502 319732416 386343336 426309888 515124448 568413184 579515004 639464832 772686672 852619776 1030248896 1159030008 1278929664 1545373344 1705239552 2060497792 2318060016 2557859328 3090746688 4120995584 4636120032 5115718656 6181493376 8241991168 9272240064 12362986752 16483982336 18544480128 24725973504 37088960256 49451947008 74177920512 148355841024