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140351008248 = 233211243374653
BaseRepresentation
bin1000001010110110010…
…0100110110111111000
3111102021022011221112200
42002231210212313320
54244414324230443
6144250521110200
713066012612653
oct2025544466770
9442238157480
10140351008248
1154582537900
122324b328360
131030950c099
146b160bc89a
1539b6958dd3
hex20ad926df8

140351008248 has 144 divisors (see below), whose sum is σ = 427532665560. Its totient is φ = 41541413760.

The previous prime is 140351008183. The next prime is 140351008277. The reversal of 140351008248 is 842800153041.

140351008248 is a `hidden beast` number, since 1 + 403 + 5 + 1 + 0 + 0 + 8 + 248 = 666.

140351008248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187290 + ... + 561942.

Almost surely, 2140351008248 is an apocalyptic number.

140351008248 is a gapful number since it is divisible by the number (18) 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 140351008248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213766332780).

140351008248 is an abundant number, since it is smaller than the sum of its proper divisors (287181657312).

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

140351008248 is a wasteful number, since it uses less digits than its factorization.

140351008248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374730 (or 374712 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 140351008248 in words is "one hundred forty billion, three hundred fifty-one million, eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 43 44 66 72 86 88 99 121 129 132 172 198 242 258 264 344 363 387 396 473 484 516 726 774 792 946 968 1032 1089 1419 1452 1548 1892 2178 2838 2904 3096 3784 4257 4356 5203 5676 8514 8712 10406 11352 15609 17028 20812 31218 34056 41624 46827 62436 93654 124872 187308 374616 374653 749306 1123959 1498612 2247918 2997224 3371877 4121183 4495836 6743754 8242366 8991672 12363549 13487508 16110079 16484732 24727098 26975016 32220158 32969464 37090647 45333013 48330237 49454196 64440316 74181294 90666026 96660474 98908392 128880632 135999039 144990711 148362588 177210869 181332052 193320948 271998078 289981422 296725176 354421738 362664104 386641896 407997117 531632607 543996156 579962844 708843476 815994234 1063265214 1087992312 1159925688 1417686952 1594897821 1631988468 1949319559 2126530428 3189795642 3263976936 3898639118 4253060856 5847958677 6379591284 7797278236 11695917354 12759182568 15594556472 17543876031 23391834708 35087752062 46783669416 70175504124 140351008248