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3435122543240 = 235679971285619
BaseRepresentation
bin110001111111001101010…
…000100100101010001000
3110011101122121002201002202
4301333031100210222020
5422240112332340430
611150023513415332
7503115352564253
oct61771520445210
913141577081082
103435122543240
111104911138713
124758bb70a548
131bbc138995bb
14bc39198409a
155e54e826d45
hex31fcd424a88

3435122543240 has 64 divisors (see below), whose sum is σ = 7852258411200. Its totient is φ = 1352182157568.

The previous prime is 3435122543179. The next prime is 3435122543257. The reversal of 3435122543240 is 423452215343.

It is a junction number, because it is equal to n+sod(n) for n = 3435122543194 and 3435122543203.

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 15 ways as a sum of consecutive naturals, for example, 2029151 + ... + 3314769.

It is an arithmetic number, because the mean of its divisors is an integer number (122691537675).

Almost surely, 23435122543240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3435122543240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926129205600).

3435122543240 is an abundant number, since it is smaller than the sum of its proper divisors (4417135867960).

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

3435122543240 is a wasteful number, since it uses less digits than its factorization.

3435122543240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286694 (or 1286690 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 38.

Adding to 3435122543240 its reverse (423452215343), we get a palindrome (3858574758583).

The spelling of 3435122543240 in words is "three trillion, four hundred thirty-five billion, one hundred twenty-two million, five hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 997 1340 1994 2680 3988 4985 7976 9970 19940 39880 66799 133598 267196 333995 534392 667990 1285619 1335980 2571238 2671960 5142476 6428095 10284952 12856190 25712380 51424760 86136473 172272946 344545892 430682365 689091784 861364730 1281762143 1722729460 2563524286 3445458920 5127048572 6408810715 10254097144 12817621430 25635242860 51270485720 85878063581 171756127162 343512254324 429390317905 687024508648 858780635810 1717561271620 3435122543240