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10144150352 = 247293977867
BaseRepresentation
bin10010111001010001…
…10111001101010000
3222011222000020020022
421130220313031100
5131233400302402
64354332203012
7506244566240
oct113450671520
928158006208
1010144150352
114336121336
121b71309468
13c5881b93b
146c3367b20
153e58842a2
hex25ca37350

10144150352 has 80 divisors (see below), whose sum is σ = 23298092160. Its totient is φ = 4186473984.

The previous prime is 10144150351. The next prime is 10144150397. The reversal of 10144150352 is 25305144101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144150351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1285523 + ... + 1293389.

It is an arithmetic number, because the mean of its divisors is an integer number (291226152).

Almost surely, 210144150352 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 10144150352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11649046080).

10144150352 is an abundant number, since it is smaller than the sum of its proper divisors (13153941808).

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

10144150352 is a wasteful number, since it uses less digits than its factorization.

10144150352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8308 (or 8302 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 10144150352 its reverse (25305144101), we get a palindrome (35449294453).

The spelling of 10144150352 in words is "ten billion, one hundred forty-four million, one hundred fifty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 397 406 464 794 812 1588 1624 2779 3176 3248 5558 6352 7867 11116 11513 15734 22232 23026 31468 44464 46052 55069 62936 80591 92104 110138 125872 161182 184208 220276 228143 322364 440552 456286 644728 881104 912572 1289456 1597001 1825144 3123199 3194002 3650288 6246398 6388004 12492796 12776008 21862393 24985592 25552016 43724786 49971184 87449572 90572771 174899144 181145542 349798288 362291084 634009397 724582168 1268018794 1449164336 2536037588 5072075176 10144150352