Search a number
-
+
241001244409992 = 2331137151163394219
BaseRepresentation
bin110110110011000001111001…
…100100000100000010001000
31011121022111100002120001221220
4312303001321210010002020
5223042031022032104432
62212322235424202040
7101522523334422003
oct6663017144040210
91147274302501856
10241001244409992
116a877065641a20
12230437a5169320
13a462420895541
14437274591653a
151ccdede8d172c
hexdb3079904088

241001244409992 has 128 divisors (see below), whose sum is σ = 679510810598400. Its totient is φ = 70586302176000.

The previous prime is 241001244409967. The next prime is 241001244409993. The reversal of 241001244409992 is 299904442100142.

It is not an unprimeable number, because it can be changed into a prime (241001244409993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80222142 + ... + 83172077.

It is an arithmetic number, because the mean of its divisors is an integer number (5308678207800).

Almost surely, 2241001244409992 is an apocalyptic number.

241001244409992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

241001244409992 is an abundant number, since it is smaller than the sum of its proper divisors (438509566188408).

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

241001244409992 is a wasteful number, since it uses less digits than its factorization.

241001244409992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163394427 (or 163394423 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 241001244409992 in words is "two hundred forty-one trillion, one billion, two hundred forty-four million, four hundred nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 151 222 264 296 302 407 444 453 604 814 888 906 1208 1221 1628 1661 1812 2442 3256 3322 3624 4884 4983 5587 6644 9768 9966 11174 13288 16761 19932 22348 33522 39864 44696 61457 67044 122914 134088 184371 245828 368742 491656 737484 1474968 163394219 326788438 490182657 653576876 980365314 1307153752 1797336409 1960730628 3594672818 3921461256 5392009227 6045586103 7189345636 10784018454 12091172206 14378691272 18136758309 21568036908 24182344412 24672527069 36273516618 43136073816 48364688824 49345054138 66501447133 72547033236 74017581207 98690108276 133002894266 145094066472 148035162414 197380216552 199504341399 266005788532 271397797759 296070324828 399008682798 532011577064 542795595518 592140649656 798017365596 814193393277 912883501553 1085591191036 1596034731192 1628386786554 1825767003106 2171182382072 2738650504659 3256773573108 3651534006212 5477301009318 6513547146216 7303068012424 10041718517083 10954602018636 20083437034166 21909204037272 30125155551249 40166874068332 60250311102498 80333748136664 120500622204996 241001244409992