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234000044240 = 245371372832039
BaseRepresentation
bin1101100111101101111…
…1010101000011010000
3211100222212100220000012
43121323133111003100
512313213002403430
6255255333014052
722622511362264
oct3317337250320
9740885326005
10234000044240
1190269a19716
1239426184328
13190b231cb51
14b47b8920a4
156148331695
hex367b7d50d0

234000044240 has 160 divisors (see below), whose sum is σ = 565098474240. Its totient is φ = 90041905152.

The previous prime is 234000044231. The next prime is 234000044249. The reversal of 234000044240 is 42440000432.

It is an interprime number because it is at equal distance from previous prime (234000044231) and next prime (234000044249).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234000044249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114761141 + ... + 114763179.

It is an arithmetic number, because the mean of its divisors is an integer number (3531865464).

Almost surely, 2234000044240 is an apocalyptic number.

234000044240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234000044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282549237120).

234000044240 is an abundant number, since it is smaller than the sum of its proper divisors (331098430000).

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

234000044240 is a wasteful number, since it uses less digits than its factorization.

234000044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 234000044240 its reverse (42440000432), we get a palindrome (276440044672).

The spelling of 234000044240 in words is "two hundred thirty-four billion, forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 137 148 185 274 283 296 370 548 566 592 685 740 1096 1132 1370 1415 1480 2039 2192 2264 2740 2830 2960 4078 4528 5069 5480 5660 8156 10138 10195 10471 10960 11320 16312 20276 20390 20942 22640 25345 32624 38771 40552 40780 41884 50690 52355 75443 77542 81104 81560 83768 101380 104710 150886 155084 163120 167536 193855 202760 209420 279343 301772 310168 377215 387710 405520 418840 558686 577037 603544 620336 754430 775420 837680 1117372 1154074 1207088 1396715 1434527 1508860 1550840 2234744 2308148 2793430 2869054 2885185 3017720 3101680 4469488 4616296 5586860 5738108 5770370 6035440 7172635 9232592 10335691 11173720 11476216 11540740 14345270 20671382 21350369 22347440 22952432 23081480 28690540 41342764 42700738 46162960 51678455 57381080 79054069 82685528 85401476 103356910 106751845 114762160 158108138 165371056 170802952 206713820 213503690 316216276 341605904 395270345 413427640 427007380 632432552 790540690 826855280 854014760 1264865104 1581081380 1708029520 2925000553 3162162760 5850001106 6324325520 11700002212 14625002765 23400004424 29250005530 46800008848 58500011060 117000022120 234000044240