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241234404202053 = 35172315716171733
BaseRepresentation
bin110110110110011011000010…
…111110000101011001000101
31011122010210011101211201200000
4312312123002332011121011
5223104341024433431203
62213021315543511513
7101545416264102423
oct6666330276053105
91148123141751600
10241234404202053
116a956a33227749
1223080a15a58599
13a47b3caaaac42
14437db43962113
151cd50d90894a3
hexdb66c2f85645

241234404202053 has 96 divisors (see below), whose sum is σ = 401789706829056. Its totient is φ = 143859587908608.

The previous prime is 241234404202021. The next prime is 241234404202061. The reversal of 241234404202053 is 350202404432142.

241234404202053 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 3 + 440 + 4 + 2 + 0 + 205 + 3 = 666.

It is not a de Polignac number, because 241234404202053 - 25 = 241234404202021 is a prime.

It is a super-2 number, since 2×2412344042020532 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241234404201999 and 241234404202017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241234404202063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6831175 + ... + 23002907.

It is an arithmetic number, because the mean of its divisors is an integer number (4185309446136).

Almost surely, 2241234404202053 is an apocalyptic number.

241234404202053 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

241234404202053 is a deficient number, since it is larger than the sum of its proper divisors (160555302627003).

241234404202053 is a wasteful number, since it uses less digits than its factorization.

241234404202053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16171945 (or 16171933 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 241234404202053 its reverse (350202404432142), we get a palindrome (591436808634195).

The spelling of 241234404202053 in words is "two hundred forty-one trillion, two hundred thirty-four billion, four hundred four million, two hundred two thousand, fifty-three".

Divisors: 1 3 9 17 23 27 51 69 81 153 157 207 243 391 459 471 621 1173 1377 1413 1863 2669 3519 3611 4131 4239 5589 8007 10557 10833 12717 24021 31671 32499 38151 61387 72063 95013 97497 184161 216189 292491 552483 648567 877473 1657449 4972347 14917041 16171733 48515199 145545597 274919461 371949859 436636791 824758383 1115849577 1309910373 2474275149 2538962081 3347548731 3929731119 6323147603 7422825447 7616886243 10042646193 18969442809 22268476341 22850658729 30127938579 43162355377 56908328427 58396127863 66805429023 68551976187 90383815737 129487066131 170724985281 175188383589 205655928561 388461198393 512174955843 525565150767 616967785683 992734173671 1165383595179 1536524867529 1576695452301 2978202521013 3496150785537 4730086356903 8934607563039 10488452356611 14190259070709 26803822689117 80411468067351 241234404202053