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202434234040 = 235171324122483
BaseRepresentation
bin1011110010001000000…
…1010100011010111000
3201100111222201120211201
42330202001110122320
511304041130442130
6232555204103544
720424336412153
oct2744201243270
9640458646751
10202434234040
1178940936275
1233296994bb4
131612173304c
149b254d2c9a
1553ec00dbca
hex2f220546b8

202434234040 has 64 divisors (see below), whose sum is σ = 482327667360. Its totient is φ = 76201390080.

The previous prime is 202434234029. The next prime is 202434234053. The reversal of 202434234040 is 40432434202.

It is a happy number.

It is a super-2 number, since 2×2024342340402 (a number of 23 digits) contains 22 as substring.

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, 8992639 + ... + 9015121.

Almost surely, 2202434234040 is an apocalyptic number.

202434234040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202434234040 is an abundant number, since it is smaller than the sum of its proper divisors (279893433320).

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

202434234040 is a wasteful number, since it uses less digits than its factorization.

202434234040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35752 (or 35748 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 202434234040 its reverse (40432434202), we get a palindrome (242866668242).

The spelling of 202434234040 in words is "two hundred two billion, four hundred thirty-four million, two hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 13241 22483 26482 44966 52964 66205 89932 105928 112415 132410 179864 224830 225097 264820 382211 449660 450194 529640 764422 899320 900388 1125485 1528844 1800776 1911055 2250970 3057688 3822110 4501940 7644220 9003880 15288440 297697403 595394806 1190789612 1488487015 2381579224 2976974030 5060855851 5953948060 10121711702 11907896120 20243423404 25304279255 40486846808 50608558510 101217117020 202434234040