Search a number
-
+
235426742540 = 225119711032181
BaseRepresentation
bin1101101101000010000…
…1110000000100001100
3211111200021221200010222
43123100201300010030
512324123221230130
6300053100050512
723003044202453
oct3332041600414
9744607850128
10235426742540
1190931293220
1239763b33a38
131927ba88822
14b575153b9a
1561cd6ebce5
hex36d087010c

235426742540 has 48 divisors (see below), whose sum is σ = 544901533344. Its totient is φ = 84727142400.

The previous prime is 235426742533. The next prime is 235426742543. The reversal of 235426742540 is 45247624532.

It is a super-2 number, since 2×2354267425402 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 235426742491 and 235426742500.

It is not an unprimeable number, because it can be changed into a prime (235426742543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5494751 + ... + 5537430.

It is an arithmetic number, because the mean of its divisors is an integer number (11352115278).

Almost surely, 2235426742540 is an apocalyptic number.

235426742540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235426742540 is an abundant number, since it is smaller than the sum of its proper divisors (309474790804).

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

235426742540 is a wasteful number, since it uses less digits than its factorization.

235426742540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11032298 (or 11032296 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 44.

The spelling of 235426742540 in words is "two hundred thirty-five billion, four hundred twenty-six million, seven hundred forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 388 485 970 1067 1940 2134 4268 5335 10670 21340 11032181 22064362 44128724 55160905 110321810 121353991 220643620 242707982 485415964 606769955 1070121557 1213539910 2140243114 2427079820 4280486228 5350607785 10701215570 11771337127 21402431140 23542674254 47085348508 58856685635 117713371270 235426742540