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42541035312240 = 2432571832179877
BaseRepresentation
bin10011010110000110110110…
…10011000101010001110000
312120121212211220011102102100
421223003123103011101300
521033443020014442430
6230251025401420400
711650326340605123
oct1153033323052160
9176555756142370
1042541035312240
1112611608433843
1249308a279a700
131a977aa68123a
14a70dd605a3ba
154db8cb16d960
hex26b0db4c5470

42541035312240 has 120 divisors (see below), whose sum is σ = 144879188040288. Its totient is φ = 11184497533440.

The previous prime is 42541035312163. The next prime is 42541035312331. The reversal of 42541035312240 is 4221353014524.

It is a happy number.

42541035312240 is a `hidden beast` number, since 4 + 2 + 54 + 1 + 0 + 353 + 12 + 240 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 42541035312195 and 42541035312204.

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, 416038819 + ... + 416141058.

Almost surely, 242541035312240 is an apocalyptic number.

42541035312240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42541035312240 is an abundant number, since it is smaller than the sum of its proper divisors (102338152728048).

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

42541035312240 is a wasteful number, since it uses less digits than its factorization.

42541035312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832179967 (or 832179958 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 42541035312240 its reverse (4221353014524), we get a palindrome (46762388326764).

The spelling of 42541035312240 in words is "forty-two trillion, five hundred forty-one billion, thirty-five million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 71 72 80 90 120 142 144 180 213 240 284 355 360 426 568 639 710 720 852 1065 1136 1278 1420 1704 2130 2556 2840 3195 3408 4260 5112 5680 6390 8520 10224 12780 17040 25560 51120 832179877 1664359754 2496539631 3328719508 4160899385 4993079262 6657439016 7489618893 8321798770 9986158524 12482698155 13314878032 14979237786 16643597540 19972317048 24965396310 29958475572 33287195080 37448094465 39944634096 49930792620 59084771267 59916951144 66574390160 74896188930 99861585240 118169542534 119833902288 149792377860 177254313801 199723170480 236339085068 295423856335 299584755720 354508627602 472678170136 531762941403 590847712670 599169511440 709017255204 886271569005 945356340272 1063525882806 1181695425340 1418034510408 1772543138010 2127051765612 2363390850680 2658814707015 2836069020816 3545086276020 4254103531224 4726781701360 5317629414030 7090172552040 8508207062448 10635258828060 14180345104080 21270517656120 42541035312240