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140915355552 = 25322239672269
BaseRepresentation
bin1000001100111100110…
…1011010111110100000
3111110201122002202111200
42003033031122332200
54302043312334202
6144422521041200
713116004521246
oct2031715327640
9443648082450
10140915355552
1154842054334
1223388326200
1310399403aba
146b6b024796
1539eb282e1c
hex20cf35afa0

140915355552 has 144 divisors (see below), whose sum is σ = 403118876160. Its totient is φ = 46692205056.

The previous prime is 140915355533. The next prime is 140915355587. The reversal of 140915355552 is 255553519041.

140915355552 is a `hidden beast` number, since 1 + 4 + 0 + 91 + 5 + 3 + 5 + 5 + 552 = 666.

140915355552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 140915355498 and 140915355507.

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 23 ways as a sum of consecutive naturals, for example, 62103474 + ... + 62105742.

It is an arithmetic number, because the mean of its divisors is an integer number (2799436640).

Almost surely, 2140915355552 is an apocalyptic number.

140915355552 is a gapful number since it is divisible by the number (12) 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 140915355552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201559438080).

140915355552 is an abundant number, since it is smaller than the sum of its proper divisors (262203520608).

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

140915355552 is a wasteful number, since it uses less digits than its factorization.

140915355552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3475 (or 3464 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 140915355552 in words is "one hundred forty billion, nine hundred fifteen million, three hundred fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 223 288 446 669 892 967 1338 1784 1934 2007 2269 2676 2901 3568 3868 4014 4538 5352 5802 6807 7136 7736 8028 8703 9076 10704 11604 13614 15472 16056 17406 18152 20421 21408 23208 27228 30944 32112 34812 36304 40842 46416 54456 64224 69624 72608 81684 92832 108912 139248 163368 215641 217824 278496 326736 431282 505987 646923 653472 862564 1011974 1293846 1517961 1725128 1940769 2023948 2194123 2587692 3035922 3450256 3881538 4047896 4388246 4553883 5175384 6071844 6582369 6900512 7763076 8095792 8776492 9107766 10350768 12143688 13164738 15526152 16191584 17552984 18215532 19747107 20701536 24287376 26329476 31052304 35105968 36431064 39494214 48574752 52658952 62104608 70211936 72862128 78988428 105317904 145724256 157976856 210635808 315953712 489289429 631907424 978578858 1467868287 1957157716 2935736574 3914315432 4403604861 5871473148 7828630864 8807209722 11742946296 15657261728 17614419444 23485892592 35228838888 46971785184 70457677776 140915355552