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35145122340 = 223510318473079
BaseRepresentation
bin100000101110110100…
…000000001000100100
310100201022202012100210
4200232310000020210
51033434122403330
624051225535420
72352633416346
oct405664001044
9110638665323
1035145122340
11139a5561659
12698a044570
1334113056a3
1419b58c5296
15daa6998b0
hex82ed00224

35145122340 has 96 divisors (see below), whose sum is σ = 99447828480. Its totient is φ = 9273004416.

The previous prime is 35145122321. The next prime is 35145122351. The reversal of 35145122340 is 4322154153.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 35145122298 and 35145122307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11412921 + ... + 11415999.

It is an arithmetic number, because the mean of its divisors is an integer number (1035914880).

Almost surely, 235145122340 is an apocalyptic number.

35145122340 is a gapful number since it is divisible by the number (30) 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 35145122340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49723914240).

35145122340 is an abundant number, since it is smaller than the sum of its proper divisors (64302706140).

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

35145122340 is a wasteful number, since it uses less digits than its factorization.

35145122340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041 (or 5039 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 35145122340 its reverse (4322154153), we get a palindrome (39467276493).

The spelling of 35145122340 in words is "thirty-five billion, one hundred forty-five million, one hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1545 1847 2060 3079 3090 3694 5541 6158 6180 7388 9235 9237 11082 12316 15395 18470 18474 22164 27705 30790 36940 36948 46185 55410 61580 92370 110820 184740 190241 317137 380482 570723 634274 760964 951205 951411 1141446 1268548 1585685 1902410 1902822 2282892 2853615 3171370 3804820 3805644 4757055 5686913 5707230 6342740 9514110 11373826 11414460 17060739 19028220 22747652 28434565 34121478 56869130 68242956 85303695 113738260 170607390 341214780 585752039 1171504078 1757256117 2343008156 2928760195 3514512234 5857520390 7029024468 8786280585 11715040780 17572561170 35145122340