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42153052522240 = 285114763698399
BaseRepresentation
bin10011001010110100001011…
…01110001100011100000000
312112020210101201002120110101
421211122011232030130000
521011113422421202430
6225352502304012144
711610312636366562
oct1145320556143400
9175223351076411
1042153052522240
1112482011248160
124889664001054
131a6a028921c5a
14a5a30bcb5332
154d176e794dca
hex265685b8c700

42153052522240 has 144 divisors (see below), whose sum is σ = 112492393574400. Its totient is φ = 15002246696960.

The previous prime is 42153052522237. The next prime is 42153052522241. The reversal of 42153052522240 is 4222525035124.

It is a self number, because there is not a number n which added to its sum of digits gives 42153052522240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42153052522241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31187440 + ... + 32510959.

It is an arithmetic number, because the mean of its divisors is an integer number (781197177600).

Almost surely, 242153052522240 is an apocalyptic number.

42153052522240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42153052522240 is an abundant number, since it is smaller than the sum of its proper divisors (70339341052160).

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

42153052522240 is a wasteful number, since it uses less digits than its factorization.

42153052522240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63698478 (or 63698464 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 37.

Adding to 42153052522240 its reverse (4222525035124), we get a palindrome (46375577557364).

The spelling of 42153052522240 in words is "forty-two trillion, one hundred fifty-three billion, fifty-two million, five hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 47 55 64 80 88 94 110 128 160 176 188 220 235 256 320 352 376 440 470 517 640 704 752 880 940 1034 1280 1408 1504 1760 1880 2068 2585 2816 3008 3520 3760 4136 5170 6016 7040 7520 8272 10340 12032 14080 15040 16544 20680 30080 33088 41360 60160 66176 82720 132352 165440 330880 661760 63698399 127396798 254793596 318491995 509587192 636983990 700682389 1019174384 1273967980 1401364778 2038348768 2547935960 2802729556 2993824753 3503411945 4076697536 5095871920 5605459112 5987649506 7006823890 8153395072 10191743840 11210918224 11975299012 14013647780 14969123765 16306790144 20383487680 22421836448 23950598024 28027295560 29938247530 32932072283 40766975360 44843672896 47901196048 56054591120 59876495060 65864144566 81533950720 89687345792 95802392096 112109182240 119752990120 131728289132 164660361415 179374691584 191604784192 224218364480 239505980240 263456578264 329320722830 383209568384 448436728960 479011960480 526913156528 658641445660 766419136768 896873457920 958023920960 1053826313056 1317282891320 1916047841920 2107652626112 2634565782640 3832095683840 4215305252224 5269131565280 8430610504448 10538263130560 21076526261120 42153052522240