Search a number
-
+
35103410040 = 2335967930223
BaseRepresentation
bin100000101100010100…
…111000011101111000
310100121102020222211210
4200230110320131320
51033342433110130
624043135523120
72351616030216
oct405424703570
9110542228753
1035103410040
1113983a61586
1269780894a0
13340578c65a
1419b0147cb6
15da6baa5b0
hex82c538778

35103410040 has 64 divisors (see below), whose sum is σ = 105324595200. Its totient is φ = 9359632512.

The previous prime is 35103410029. The next prime is 35103410101. The reversal of 35103410040 is 4001430153.

It is a junction number, because it is equal to n+sod(n) for n = 35103409989 and 35103410016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1146369 + ... + 1176591.

It is an arithmetic number, because the mean of its divisors is an integer number (1645696800).

Almost surely, 235103410040 is an apocalyptic number.

35103410040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35103410040 is an abundant number, since it is smaller than the sum of its proper divisors (70221185160).

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

35103410040 is a wasteful number, since it uses less digits than its factorization.

35103410040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39916 (or 39912 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 35103410040 its reverse (4001430153), we get a palindrome (39104840193).

The spelling of 35103410040 in words is "thirty-five billion, one hundred three million, four hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 9679 19358 29037 30223 38716 48395 58074 60446 77432 90669 96790 116148 120892 145185 151115 181338 193580 232296 241784 290370 302230 362676 387160 453345 580740 604460 725352 906690 1161480 1208920 1813380 3626760 292528417 585056834 877585251 1170113668 1462642085 1755170502 2340227336 2925284170 3510341004 4387926255 5850568340 7020682008 8775852510 11701136680 17551705020 35103410040