Search a number
-
+
4410123442494 = 23711137557125093
BaseRepresentation
bin100000000101100111111…
…0101110101100100111110
3120121121022002022020022120
41000023033311311210332
51034223413100124434
613213552134423410
7633422653515540
oct100131765654476
916547262266276
104410123442494
111450360791170
125b2865501b66
1325cb46885023
14113645bd9690
1579ab64e7349
hex402cfd7593e

4410123442494 has 128 divisors (see below), whose sum is σ = 11096914609152. Its totient is φ = 1135074800640.

The previous prime is 4410123442369. The next prime is 4410123442507. The reversal of 4410123442494 is 4942443210144.

It is a super-3 number, since 3×44101234424943 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35192212 + ... + 35317304.

It is an arithmetic number, because the mean of its divisors is an integer number (86694645384).

Almost surely, 24410123442494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4410123442494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548457304576).

4410123442494 is an abundant number, since it is smaller than the sum of its proper divisors (6686791166658).

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

4410123442494 is a wasteful number, since it uses less digits than its factorization.

4410123442494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125810.

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 4410123442494 in words is "four trillion, four hundred ten billion, one hundred twenty-three million, four hundred forty-two thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 137 154 231 274 411 462 557 822 959 1114 1507 1671 1918 2877 3014 3342 3899 4521 5754 6127 7798 9042 10549 11697 12254 18381 21098 23394 31647 36762 42889 63294 76309 85778 125093 128667 152618 228927 250186 257334 375279 457854 534163 750558 839399 875651 1068326 1376023 1602489 1678798 1751302 2518197 2626953 2752046 3204978 4128069 5036394 5253906 5875793 8256138 9632161 11751586 17137741 17627379 19264322 28896483 34275482 35254758 51413223 57792966 69676801 102826446 119964187 139353602 188515151 209030403 239928374 359892561 377030302 418060806 487737607 565545453 719785122 766444811 975475214 1131090906 1319606057 1463212821 1532889622 2299334433 2639212114 2926425642 3958818171 4598668866 5365113677 7917636342 9545721737 10730227354 16095341031 19091443474 28637165211 32190682062 57274330422 66820052159 105002939107 133640104318 200460156477 210005878214 315008817321 400920312954 630017634642 735020573749 1470041147498 2205061721247 4410123442494