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35714242240 = 265199376269
BaseRepresentation
bin100001010000101111…
…000001011011000000
310102011222122111002121
4201100233001123000
51041120321222430
624223520054024
72403014023135
oct412057013300
9112158574077
1035714242240
1114167838886
126b08764314
1334a21ab821
141a2b31058c
15de0617a7a
hex850bc16c0

35714242240 has 112 divisors (see below), whose sum is σ = 89630402400. Its totient is φ = 13517217792.

The previous prime is 35714242229. The next prime is 35714242279. The reversal of 35714242240 is 4224241753.

It is a junction number, because it is equal to n+sod(n) for n = 35714242196 and 35714242205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5693826 + ... + 5700094.

It is an arithmetic number, because the mean of its divisors is an integer number (800271450).

Almost surely, 235714242240 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 35714242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44815201200).

35714242240 is an abundant number, since it is smaller than the sum of its proper divisors (53916160160).

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

35714242240 is a wasteful number, since it uses less digits than its factorization.

35714242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7242 (or 7232 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

Adding to 35714242240 its reverse (4224241753), we get a palindrome (39938483993).

The spelling of 35714242240 in words is "thirty-five billion, seven hundred fourteen million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 937 1216 1520 1874 3040 3748 4685 6080 6269 7496 9370 12538 14992 17803 18740 25076 29984 31345 35606 37480 50152 59968 62690 71212 74960 89015 100304 119111 125380 142424 149920 178030 200608 238222 250760 284848 299840 356060 401216 476444 501520 569696 595555 712120 952888 1003040 1139392 1191110 1424240 1905776 2006080 2382220 2848480 3811552 4764440 5696960 5874053 7623104 9528880 11748106 19057760 23496212 29370265 38115520 46992424 58740530 93984848 111607007 117481060 187969696 223214014 234962120 375939392 446428028 469924240 558035035 892856056 939848480 1116070070 1785712112 1879696960 2232140140 3571424224 4464280280 7142848448 8928560560 17857121120 35714242240