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154233344132 = 227219131316153
BaseRepresentation
bin1000111110100100000…
…1100001000010000100
3112202002210020200021222
42033221001201002010
510011332214003012
6154504231455512
714100021536300
oct2175101410204
9482083220258
10154233344132
115a45677a26a
1225a84527598
131170c63130a
147671ac6d00
15402a598972
hex23e9061084

154233344132 has 72 divisors (see below), whose sum is σ = 333023977440. Its totient is φ = 62142837120.

The previous prime is 154233344107. The next prime is 154233344159. The reversal of 154233344132 is 231443332451.

It is a junction number, because it is equal to n+sod(n) for n = 154233344092 and 154233344101.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 329768 + ... + 645920.

It is an arithmetic number, because the mean of its divisors is an integer number (4625333020).

Almost surely, 2154233344132 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 154233344132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166511988720).

154233344132 is an abundant number, since it is smaller than the sum of its proper divisors (178790633308).

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

154233344132 is a wasteful number, since it uses less digits than its factorization.

154233344132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316321 (or 316312 counting only the distinct ones).

The product of its digits is 103680, while the sum is 35.

Adding to 154233344132 its reverse (231443332451), we get a palindrome (385676676583).

The spelling of 154233344132 in words is "one hundred fifty-four billion, two hundred thirty-three million, three hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 131 133 196 262 266 524 532 917 931 1834 1862 2489 3668 3724 4978 6419 9956 12838 17423 25676 34846 69692 121961 243922 316153 487844 632306 1264612 2213071 4426142 6006907 8852284 12013814 15491497 24027628 30982994 41416043 42048349 61965988 82832086 84096698 165664172 168193396 289912301 294338443 579824602 588676886 786904817 1159649204 1177353772 1573809634 2029386107 3147619268 4058772214 5508333719 8117544428 11016667438 22033334876 38558336033 77116672066 154233344132