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154053241144 = 231137353134033
BaseRepresentation
bin1000111101111001001…
…0011110100100111000
3112201122020100111102221
42033132102132210320
510011000112204034
6154434315333424
714062403641555
oct2173622364470
9481566314387
10154053241144
115a374047220
1225a34151274
13116b12225ba
147655c03a2c
15401986ebb4
hex23de49e938

154053241144 has 64 divisors (see below), whose sum is σ = 324544566240. Its totient is φ = 67938140160.

The previous prime is 154053241123. The next prime is 154053241159. The reversal of 154053241144 is 441142350451.

It is a happy number.

It is a super-3 number, since 3×1540532411443 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1082352 + ... + 1216384.

Almost surely, 2154053241144 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 154053241144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162272283120).

154053241144 is an abundant number, since it is smaller than the sum of its proper divisors (170491325096).

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

154053241144 is a wasteful number, since it uses less digits than its factorization.

154053241144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134440 (or 134436 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 154053241144 its reverse (441142350451), we get a palindrome (595195591595).

The spelling of 154053241144 in words is "one hundred fifty-four billion, fifty-three million, two hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 353 407 706 814 1412 1628 2824 3256 3883 7766 13061 15532 26122 31064 52244 104488 134033 143671 268066 287342 536132 574684 1072264 1149368 1474363 2948726 4959221 5897452 9918442 11794904 19836884 39673768 47313649 54551431 94627298 109102862 189254596 218205724 378509192 436411448 520450139 1040900278 1750605013 2081800556 3501210026 4163601112 7002420052 14004840104 19256655143 38513310286 77026620572 154053241144