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114638152280 = 23537577134243
BaseRepresentation
bin110101011000011110…
…1110110001001011000
3101221220022220112011212
41222300331312021120
53334234331333110
6124355233242252
711165561134211
oct1526075661130
9357808815155
10114638152280
1144688280613
121a274103388
13aa6c3b4a02
1457971b2408
152eae3c4e05
hex1ab0f76258

114638152280 has 64 divisors (see below), whose sum is σ = 265368169440. Its totient is φ = 44538273792.

The previous prime is 114638152261. The next prime is 114638152309. The reversal of 114638152280 is 82251836411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786839 + ... + 921081.

Almost surely, 2114638152280 is an apocalyptic number.

114638152280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114638152280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132684084720).

114638152280 is an abundant number, since it is smaller than the sum of its proper divisors (150730017160).

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

114638152280 is a wasteful number, since it uses less digits than its factorization.

114638152280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134868 (or 134864 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

Adding to 114638152280 its reverse (82251836411), we get a palindrome (196889988691).

The spelling of 114638152280 in words is "one hundred fourteen billion, six hundred thirty-eight million, one hundred fifty-two thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 577 740 1154 1480 2308 2885 4616 5770 11540 21349 23080 42698 85396 106745 134243 170792 213490 268486 426980 536972 671215 853960 1073944 1342430 2684860 4966991 5369720 9933982 19867964 24834955 39735928 49669910 77458211 99339820 154916422 198679640 309832844 387291055 619665688 774582110 1549164220 2865953807 3098328440 5731907614 11463815228 14329769035 22927630456 28659538070 57319076140 114638152280