Search a number
-
+
40832654024064 = 273733745076319
BaseRepresentation
bin10010100100011000101111…
…10101101001110110000000
312100120120012212101001020210
421102030113311221312000
520323000233412232224
6222502132353434120
711413030142343060
oct1122142765516600
9170516185331223
1040832654024064
1112013038767411
1246b578526b940
1319a266c716066
14a1244d5513a0
154ac23eb3a429
hex252317d69d80

40832654024064 has 128 divisors (see below), whose sum is σ = 124324096665600. Its totient is φ = 11631853707264.

The previous prime is 40832654024009. The next prime is 40832654024083. The reversal of 40832654024064 is 46042045623804.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 21632304 + ... + 23444015.

It is an arithmetic number, because the mean of its divisors is an integer number (971282005200).

Almost surely, 240832654024064 is an apocalyptic number.

It is an amenable number.

40832654024064 is an abundant number, since it is smaller than the sum of its proper divisors (83491442641536).

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

40832654024064 is a wasteful number, since it uses less digits than its factorization.

40832654024064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45076680 (or 45076668 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 48.

Adding to 40832654024064 its reverse (46042045623804), we get a palindrome (86874699647868).

The spelling of 40832654024064 in words is "forty trillion, eight hundred thirty-two billion, six hundred fifty-four million, twenty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 337 384 448 672 674 896 1011 1344 1348 2022 2359 2688 2696 4044 4718 5392 7077 8088 9436 10784 14154 16176 18872 21568 28308 32352 37744 43136 56616 64704 75488 113232 129408 150976 226464 301952 452928 905856 45076319 90152638 135228957 180305276 270457914 315534233 360610552 540915828 631068466 721221104 946602699 1081831656 1262136932 1442442208 1893205398 2163663312 2524273864 2884884416 3786410796 4327326624 5048547728 5769768832 7572821592 8654653248 10097095456 15145643184 15190719503 17309306496 20194190912 30291286368 30381439006 40388381824 45572158509 60582572736 60762878012 91144317018 106335036521 121165145472 121525756024 182288634036 212670073042 243051512048 319005109563 364577268072 425340146084 486103024096 638010219126 729154536144 850680292168 972206048192 1276020438252 1458309072288 1701360584336 1944412096384 2552040876504 2916618144576 3402721168672 5104081753008 5833236289152 6805442337344 10208163506016 13610884674688 20416327012032 40832654024064