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145011124115144 = 23743322118696233
BaseRepresentation
bin100000111110001100001000…
…100010101001011011001000
3201000102221001120100021012222
4200332030020202221123020
5123001330240233141034
61232225105111553212
742354464560334630
oct4076141042513310
9630387046307188
10145011124115144
11422289661490a1
121432016408b808
1362bb64b337301
1427b480c2116c0
1511b711361712e
hex83e3088a96c8

145011124115144 has 64 divisors (see below), whose sum is σ = 318063324205440. Its totient is φ = 60683481976320.

The previous prime is 145011124115129. The next prime is 145011124115189. The reversal of 145011124115144 is 441511421110541.

It is a super-2 number, since 2×1450111241151442 (a number of 29 digits) contains 22 as substring.

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, 1591949 + ... + 17104284.

It is an arithmetic number, because the mean of its divisors is an integer number (4969739440710).

Almost surely, 2145011124115144 is an apocalyptic number.

145011124115144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

145011124115144 is an abundant number, since it is smaller than the sum of its proper divisors (173052200090296).

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

145011124115144 is a wasteful number, since it uses less digits than its factorization.

145011124115144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18699510 (or 18699506 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 35.

Adding to 145011124115144 its reverse (441511421110541), we get a palindrome (586522545225685).

The spelling of 145011124115144 in words is "one hundred forty-five trillion, eleven billion, one hundred twenty-four million, one hundred fifteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 602 1204 2408 3221 6442 12884 22547 25768 45094 90188 138503 180376 277006 554012 969521 1108024 1939042 3878084 7756168 18696233 37392466 74784932 130873631 149569864 261747262 523494524 803938019 1046989048 1607876038 3215752076 5627566133 6431504152 11255132266 22510264532 45020529064 60220566493 120441132986 240882265972 421543965451 481764531944 843087930902 1686175861804 2589484359199 3372351723608 5178968718398 10357937436796 18126390514393 20715874873592 36252781028786 72505562057572 145011124115144