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10144151748 = 2233239742101
BaseRepresentation
bin10010111001010001…
…10111100011000100
3222011222000022011000
421130220313203010
5131233400323443
64354332213300
7506244603303
oct113450674304
928158008130
1010144151748
114336122395
121b7130a230
13c5881c473
146c336843a
153e58848d3
hex25ca378c4

10144151748 has 96 divisors (see below), whose sum is σ = 27726693120. Its totient is φ = 3200947200.

The previous prime is 10144151747. The next prime is 10144151749. The reversal of 10144151748 is 84715144101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10144151747) and next prime (10144151749).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10144151741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219898 + ... + 261998.

It is an arithmetic number, because the mean of its divisors is an integer number (288819720).

Almost surely, 210144151748 is an apocalyptic number.

10144151748 is a gapful number since it is divisible by the number (18) 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 10144151748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13863346560).

10144151748 is an abundant number, since it is smaller than the sum of its proper divisors (17582541372).

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

10144151748 is a wasteful number, since it uses less digits than its factorization.

10144151748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42234 (or 42226 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

Adding to 10144151748 its reverse (84715144101), we get a palindrome (94859295849).

The spelling of 10144151748 in words is "ten billion, one hundred forty-four million, one hundred fifty-one thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 97 108 138 194 207 276 291 388 414 582 621 828 873 1164 1242 1746 2231 2484 2619 3492 4462 5238 6693 8924 10476 13386 20079 26772 40158 42101 60237 80316 84202 120474 126303 168404 240948 252606 378909 505212 757818 968323 1136727 1515636 1936646 2273454 2904969 3873292 4083797 4546908 5809938 8167594 8714907 11619876 12251391 16335188 17429814 24502782 26144721 34859628 36754173 49005564 52289442 73508346 93927331 104578884 110262519 147016692 187854662 220525038 281781993 375709324 441050076 563563986 845345979 1127127972 1690691958 2536037937 3381383916 5072075874 10144151748