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35145204240 = 24351223119737
BaseRepresentation
bin100000101110110100…
…010100001000010000
310100201022220100201010
4200232310110020100
51033434133013430
624051231410520
72352634210206
oct405664241020
9110638810633
1035145204240
11139a5608143
12698a083a40
133411333a53
1419b5907076
15daa6b3cb0
hex82ed14210

35145204240 has 80 divisors (see below), whose sum is σ = 109040128128. Its totient is φ = 9364313088.

The previous prime is 35145204187. The next prime is 35145204251. The reversal of 35145204240 is 4240254153.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 35145204198 and 35145204207.

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, 233652 + ... + 353388.

Almost surely, 235145204240 is an apocalyptic number.

35145204240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35145204240 is an abundant number, since it is smaller than the sum of its proper divisors (73894923888).

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

35145204240 is a wasteful number, since it uses less digits than its factorization.

35145204240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120976 (or 120970 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 35145204240 its reverse (4240254153), we get a palindrome (39385458393).

The spelling of 35145204240 in words is "thirty-five billion, one hundred forty-five million, two hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1223 2446 3669 4892 6115 7338 9784 12230 14676 18345 19568 24460 29352 36690 48920 58704 73380 97840 119737 146760 239474 293520 359211 478948 598685 718422 957896 1197370 1436844 1796055 1915792 2394740 2873688 3592110 4789480 5747376 7184220 9578960 14368440 28736880 146438351 292876702 439315053 585753404 732191755 878630106 1171506808 1464383510 1757260212 2196575265 2343013616 2928767020 3514520424 4393150530 5857534040 7029040848 8786301060 11715068080 17572602120 35145204240