Search a number
-
+
140418730753020 = 2232529116323129957
BaseRepresentation
bin11111111011010111001000…
…100100001111101111111100
3200102011220021210000202022100
4133323113020210033233330
5121401110030033044040
61214351250244145100
741401630022666346
oct3773271044175774
9612156253022270
10140418730753020
114081828188a615
12138ba110998190
136047577798345
142696434d7c296
1511379304d7b30
hex7fb5c890fbfc

140418730753020 has 144 divisors (see below), whose sum is σ = 441003180814560. Its totient is φ = 36122699923968.

The previous prime is 140418730753013. The next prime is 140418730753033. The reversal of 140418730753020 is 20357037814041.

140418730753020 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 1 + 87 + 30 + 7 + 530 + 2 + 0 = 666.

It is a super-3 number, since 3×1404187307530203 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5494119 + ... + 17635838.

It is an arithmetic number, because the mean of its divisors is an integer number (3062522088990).

Almost surely, 2140418730753020 is an apocalyptic number.

140418730753020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140418730753020 is an abundant number, since it is smaller than the sum of its proper divisors (300584450061540).

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

140418730753020 is a wasteful number, since it uses less digits than its factorization.

140418730753020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23131164 (or 23131159 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 140418730753020 in words is "one hundred forty trillion, four hundred eighteen billion, seven hundred thirty million, seven hundred fifty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1163 1305 1740 2326 2610 3489 4652 5220 5815 6978 10467 11630 13956 17445 20934 23260 33727 34890 41868 52335 67454 69780 101181 104670 134908 168635 202362 209340 303543 337270 404724 505905 607086 674540 1011810 1214172 1517715 2023620 3035430 6070860 23129957 46259914 69389871 92519828 115649785 138779742 208169613 231299570 277559484 346949355 416339226 462599140 670768753 693898710 832678452 1040848065 1341537506 1387797420 2012306259 2081696130 2683075012 3353843765 4024612518 4163392260 6036918777 6707687530 8049225036 10061531295 12073837554 13415375060 20123062590 24147675108 26900139991 30184593885 40246125180 53800279982 60369187770 80700419973 107600559964 120738375540 134500699955 161400839946 242101259919 269001399910 322801679892 403502099865 484202519838 538002799820 780104059739 807004199730 968405039676 1210506299595 1560208119478 1614008399460 2340312179217 2421012599190 3120416238956 3900520298695 4680624358434 4842025198380 7020936537651 7801040597390 9361248716868 11701560896085 14041873075302 15602081194780 23403121792170 28083746150604 35104682688255 46806243584340 70209365376510 140418730753020