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244142121006 = 23371499430873
BaseRepresentation
bin1110001101100000000…
…0010010000000101110
3212100011200110202211000
43203120000102000232
513000000340333011
6304053552541130
723432032534230
oct3433000220056
9770150422730
10244142121006
11945a3954043
123b3968517a6
131a03a5939c4
14bb6083a250
15653d906356
hex38d801202e

244142121006 has 64 divisors (see below), whose sum is σ = 620458560000. Its totient is φ = 69708195648.

The previous prime is 244142120987. The next prime is 244142121007. The reversal of 244142121006 is 600121241442.

244142121006 is a `hidden beast` number, since 2 + 441 + 4 + 2 + 1 + 210 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244142121007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351186 + ... + 782058.

It is an arithmetic number, because the mean of its divisors is an integer number (9694665000).

Almost surely, 2244142121006 is an apocalyptic number.

244142121006 is an abundant number, since it is smaller than the sum of its proper divisors (376316438994).

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

244142121006 is a wasteful number, since it uses less digits than its factorization.

244142121006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432390 (or 432384 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 244142121006 its reverse (600121241442), we get a palindrome (844263362448).

The spelling of 244142121006 in words is "two hundred forty-four billion, one hundred forty-two million, one hundred twenty-one thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1499 2998 4497 8994 10493 13491 20986 26982 31479 40473 62958 80946 94437 188874 283311 430873 566622 861746 1292619 2585238 3016111 3877857 6032222 7755714 9048333 11633571 18096666 23267142 27144999 54289998 81434997 162869994 645878627 1291757254 1937635881 3875271762 4521150389 5812907643 9042300778 11625815286 13563451167 17438722929 27126902334 34877445858 40690353501 81380707002 122071060503 244142121006