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141614330944 = 26311272772029
BaseRepresentation
bin1000001111100011011…
…1110011010001000000
3111112112100100101111011
42003320313303101000
54310011232042234
6145020130330304
713142222644342
oct2037067632100
9445470311434
10141614330944
1155070663949
1223542429994
131047b1749c8
146bd5bb3292
153a3c801b64
hex20f8df3440

141614330944 has 112 divisors (see below), whose sum is σ = 293565153280. Its totient is φ = 67704698880.

The previous prime is 141614330933. The next prime is 141614330981. The reversal of 141614330944 is 449033416141.

It is a super-2 number, since 2×1416143309442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141614330897 and 141614330906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69794122 + ... + 69796150.

It is an arithmetic number, because the mean of its divisors is an integer number (2621117440).

Almost surely, 2141614330944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141614330944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146782576640).

141614330944 is an abundant number, since it is smaller than the sum of its proper divisors (151950822336).

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

141614330944 is a wasteful number, since it uses less digits than its factorization.

141614330944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 141614330944 in words is "one hundred forty-one billion, six hundred fourteen million, three hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 127 248 254 277 496 508 554 992 1016 1108 1984 2029 2032 2216 3937 4058 4064 4432 7874 8116 8128 8587 8864 15748 16232 17174 17728 31496 32464 34348 35179 62899 62992 64928 68696 70358 125798 125984 129856 137392 140716 251596 251968 257683 274784 281432 503192 515366 549568 562033 562864 1006384 1030732 1090549 1124066 1125728 2012768 2061464 2181098 2248132 2251456 4025536 4122928 4362196 4496264 7988173 8245856 8724392 8992528 15976346 16491712 17423023 17448784 17985056 31952692 34846046 34897568 35970112 63905384 69692092 69795136 71378191 127810768 139384184 142756382 255621536 278768368 285512764 511243072 557536736 571025528 1115073472 1142051056 2212723921 2284102112 4425447842 4568204224 8850895684 17701791368 35403582736 70807165472 141614330944