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140418967296 = 2832112333719
BaseRepresentation
bin1000001011000110011…
…1110110011100000000
3111102110001001121211110
42002301213312130000
54300034223423141
6144301345443320
713100466346206
oct2026147663400
9442401047743
10140418967296
1154607934503
122326a040540
131031a61493a
146b2112d076
1539bc8cee16
hex20b19f6700

140418967296 has 144 divisors (see below), whose sum is σ = 377203357440. Its totient is φ = 46372085760.

The previous prime is 140418967289. The next prime is 140418967309. The reversal of 140418967296 is 692769814041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37755325 + ... + 37759043.

It is an arithmetic number, because the mean of its divisors is an integer number (2619467760).

Almost surely, 2140418967296 is an apocalyptic number.

140418967296 is a gapful number since it is divisible by the number (16) 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 140418967296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188601678720).

140418967296 is an abundant number, since it is smaller than the sum of its proper divisors (236784390144).

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

140418967296 is a wasteful number, since it uses less digits than its factorization.

140418967296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4182 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 140418967296 in words is "one hundred forty billion, four hundred eighteen million, nine hundred sixty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 211 233 256 384 422 466 633 699 768 844 932 1266 1398 1688 1864 2532 2796 3376 3719 3728 5064 5592 6752 7438 7456 10128 11157 11184 13504 14876 14912 20256 22314 22368 27008 29752 29824 40512 44628 44736 49163 54016 59504 59648 81024 89256 89472 98326 119008 147489 162048 178512 178944 196652 238016 294978 357024 393304 476032 589956 714048 784709 786608 866527 952064 1179912 1428096 1569418 1573216 1733054 2354127 2359824 2599581 2856192 3138836 3146432 3466108 4708254 4719648 5199162 6277672 6292864 6932216 9416508 9439296 10398324 12555344 12585728 13864432 18833016 18878592 20796648 25110688 27728864 37666032 37757184 41593296 50221376 55457728 75332064 83186592 100442752 110915456 150664128 166373184 182837197 200885504 221830912 301328256 332746368 365674394 548511591 602656512 665492736 731348788 1097023182 1462697576 2194046364 2925395152 4388092728 5850790304 8776185456 11701580608 17552370912 23403161216 35104741824 46806322432 70209483648 140418967296