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152040334144 = 2659211190829
BaseRepresentation
bin1000110110011001001…
…1110110001101000000
3112112102221201020010211
42031212103312031000
54442334311143034
6153502452003504
713661462342206
oct2154623661500
9475387636124
10152040334144
1159530894416
1225572000594
13114501a947a
147504749076
153e4ccacd64
hex23664f6340

152040334144 has 56 divisors (see below), whose sum is σ = 308274415200. Its totient is φ = 74377121280.

The previous prime is 152040334141. The next prime is 152040334217. The reversal of 152040334144 is 441433040251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152040334141) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 701322 + ... + 892150.

Almost surely, 2152040334144 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 152040334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154137207600).

152040334144 is an abundant number, since it is smaller than the sum of its proper divisors (156234081056).

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

152040334144 is a wasteful number, since it uses less digits than its factorization.

152040334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191111 (or 191101 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 152040334144 its reverse (441433040251), we get a palindrome (593473374395).

The spelling of 152040334144 in words is "one hundred fifty-two billion, forty million, three hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 59 64 118 211 236 422 472 844 944 1688 1888 3376 3776 6752 12449 13504 24898 49796 99592 190829 199184 381658 398368 763316 796736 1526632 3053264 6106528 11258911 12213056 22517822 40264919 45035644 80529838 90071288 161059676 180142576 322119352 360285152 644238704 720570304 1288477408 2375630221 2576954816 4751260442 9502520884 19005041768 38010083536 76020167072 152040334144