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230273513040 = 2435312998411
BaseRepresentation
bin1101011001110101011…
…1101111011001010000
3211000101011020111020010
43112131113233121100
512233100004404130
6253441452314520
722431251364654
oct3263527573120
9730334214203
10230273513040
118972743866a
1238766172a40
131893a26a0bc
14b2069a6a64
155ecb0c90b0
hex359d5ef650

230273513040 has 120 divisors (see below), whose sum is σ = 737618798304. Its totient is φ = 59425363200.

The previous prime is 230273512993. The next prime is 230273513083. The reversal of 230273513040 is 40315372032.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 230273512989 and 230273513007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268566 + ... + 729845.

Almost surely, 2230273513040 is an apocalyptic number.

230273513040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230273513040 is an abundant number, since it is smaller than the sum of its proper divisors (507345285264).

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

230273513040 is a wasteful number, since it uses less digits than its factorization.

230273513040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998489 (or 998452 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

Adding to 230273513040 its reverse (40315372032), we get a palindrome (270588885072).

The spelling of 230273513040 in words is "two hundred thirty billion, two hundred seventy-three million, five hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 961 1240 1488 1860 1922 2480 2883 3720 3844 4805 5766 7440 7688 9610 11532 14415 15376 19220 23064 28830 38440 46128 57660 76880 115320 230640 998411 1996822 2995233 3993644 4992055 5990466 7987288 9984110 11980932 14976165 15974576 19968220 23961864 29952330 30950741 39936440 47923728 59904660 61901482 79872880 92852223 119809320 123802964 154753705 185704446 239618640 247605928 309507410 371408892 464261115 495211856 619014820 742817784 928522230 959472971 1238029640 1485635568 1857044460 1918945942 2476059280 2878418913 3714088920 3837891884 4797364855 5756837826 7428177840 7675783768 9594729710 11513675652 14392094565 15351567536 19189459420 23027351304 28784189130 38378918840 46054702608 57568378260 76757837680 115136756520 230273513040