Search a number
-
+
234412504000 = 2653231273981
BaseRepresentation
bin1101101001010000010…
…0101111001111000000
3211102001121111000102121
43122110010233033000
512320034100112000
6255404305254024
722635650260003
oct3322404571700
9742047430377
10234412504000
1190460824854
1239520334314
131914990478c
14b4ba57b53a
15616e656b1a
hex369412f3c0

234412504000 has 112 divisors (see below), whose sum is σ = 605763153216. Its totient is φ = 89688192000.

The previous prime is 234412503989. The next prime is 234412504013. The reversal of 234412504000 is 405214432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452991 + ... + 820990.

Almost surely, 2234412504000 is an apocalyptic number.

234412504000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234412504000 is an abundant number, since it is smaller than the sum of its proper divisors (371350649216).

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

234412504000 is a wasteful number, since it uses less digits than its factorization.

234412504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274031 (or 1274011 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 234412504000 its reverse (405214432), we get a palindrome (234817718432).

The spelling of 234412504000 in words is "two hundred thirty-four billion, four hundred twelve million, five hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 160 184 200 230 250 320 368 400 460 500 575 736 800 920 1000 1150 1472 1600 1840 2000 2300 2875 3680 4000 4600 5750 7360 8000 9200 11500 18400 23000 36800 46000 92000 184000 1273981 2547962 5095924 6369905 10191848 12739810 20383696 25479620 29301563 31849525 40767392 50959240 58603126 63699050 81534784 101918480 117206252 127398100 146507815 159247625 203836960 234412504 254796200 293015630 318495250 407673920 468825008 509592400 586031260 636990500 732539075 937650016 1019184800 1172062520 1273981000 1465078150 1875300032 2038369600 2344125040 2547962000 2930156300 3662695375 4688250080 5095924000 5860312600 7325390750 9376500160 10191848000 11720625200 14650781500 23441250400 29301563000 46882500800 58603126000 117206252000 234412504000