Search a number
-
+
23441464502445 = 35114153101647321
BaseRepresentation
bin1010101010001111001000…
…01010100010100010101101
310001222222111222002010021110
411111013210022202202231
511033031104403034240
6121504505442022233
74636406225442153
oct525074412424255
9101888458063243
1023441464502445
117518518659550
122767143047979
13101069ca48402
145b08041c73d3
152a9b76341c80
hex1551e42a28ad

23441464502445 has 128 divisors (see below), whose sum is σ = 43127678071296. Its totient is φ = 10771404800000.

The previous prime is 23441464502441. The next prime is 23441464502447. The reversal of 23441464502445 is 54420546414432.

It is not a de Polignac number, because 23441464502445 - 22 = 23441464502441 is a prime.

It is a super-2 number, since 2×234414645024452 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 23441464502394 and 23441464502403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23441464502441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35889385 + ... + 36536705.

It is an arithmetic number, because the mean of its divisors is an integer number (336934984932).

Almost surely, 223441464502445 is an apocalyptic number.

It is an amenable number.

23441464502445 is a deficient number, since it is larger than the sum of its proper divisors (19686213568851).

23441464502445 is a wasteful number, since it uses less digits than its factorization.

23441464502445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647535.

The product of its (nonzero) digits is 7372800, while the sum is 48.

The spelling of 23441464502445 in words is "twenty-three trillion, four hundred forty-one billion, four hundred sixty-four million, five hundred two thousand, four hundred forty-five".

Divisors: 1 3 5 11 15 33 41 53 55 101 123 159 165 205 265 303 451 505 583 615 795 1111 1353 1515 1749 2173 2255 2915 3333 4141 5353 5555 6519 6765 8745 10865 12423 16059 16665 20705 23903 26765 32595 45551 58883 62115 71709 80295 119515 136653 176649 219473 227755 294415 358545 647321 658419 683265 883245 1097365 1941963 2414203 3236605 3292095 7120531 7242609 9709815 12071015 21361593 26540161 34308013 35602655 36213045 65379421 79620483 102924039 106807965 132700805 171540065 196138263 291941771 326897105 377388143 398102415 514620195 719173631 875825313 980691315 1132164429 1406628533 1459708855 1886940715 2157520893 2680556261 3465109313 3595868155 4219885599 4379126565 5660822145 7033142665 8041668783 10395327939 10787604465 13402781305 15472913863 17325546565 21099427995 29486118871 38116202443 40208343915 46418741589 51976639695 77364569315 88458356613 114348607329 142069481833 147430594355 190581012215 232093707945 426208445499 442291783065 571743036645 710347409165 1562764300163 2131042227495 4688292900489 7813821500815 23441464502445