Search a number
-
+
148787160340 = 225721313618581
BaseRepresentation
bin1000101010010001100…
…1111110010100010100
3112020001020021212122011
42022210121332110110
54414204003112330
6152204001114004
713515040665400
oct2124431762424
9466036255564
10148787160340
1158111522825
1224a04628904
1311052210a60
1472b667c100
153d0c3a982a
hex22a467e514

148787160340 has 144 divisors (see below), whose sum is σ = 391757932944. Its totient is φ = 47048601600.

The previous prime is 148787160329. The next prime is 148787160341. The reversal of 148787160340 is 43061787841.

148787160340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 81255782916 + 67531377424 = 285054^2 + 259868^2 .

It is a super-3 number, since 3×1487871603403 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148787160341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17334850 + ... + 17343430.

It is an arithmetic number, because the mean of its divisors is an integer number (2720541201).

Almost surely, 2148787160340 is an apocalyptic number.

148787160340 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 148787160340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195878966472).

148787160340 is an abundant number, since it is smaller than the sum of its proper divisors (242970772604).

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

148787160340 is a wasteful number, since it uses less digits than its factorization.

148787160340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9978 (or 9969 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 49.

The spelling of 148787160340 in words is "one hundred forty-eight billion, seven hundred eighty-seven million, one hundred sixty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1361 1820 2548 2722 3185 5444 6370 6805 8581 9527 12740 13610 17162 17693 19054 27220 34324 35386 38108 42905 47635 60067 66689 70772 85810 88465 95270 111553 120134 123851 133378 171620 176930 190540 223106 240268 247702 266756 300335 333445 353860 420469 446212 495404 557765 600670 619255 666890 780871 840938 866957 1115530 1201340 1238510 1333780 1561742 1681876 1733914 2102345 2231060 2477020 3123484 3467828 3904355 4204690 4334785 5466097 7808710 8409380 8669570 10932194 11678741 15617420 17339140 21864388 23357482 27330485 46714964 54660970 58393705 81751187 109321940 116787410 151823633 163502374 233574820 303647266 327004748 408755935 572258309 607294532 759118165 817511870 1062765431 1144516618 1518236330 1635023740 2125530862 2289033236 2861291545 3036472660 4251061724 5313827155 5722583090 7439358017 10627654310 11445166180 14878716034 21255308620 29757432068 37196790085 74393580170 148787160340