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5303002144 = 25113196553
BaseRepresentation
bin1001111000001010…
…10110010000100000
3111200120112102100211
410330011112100200
541330032032034
62234113423504
7245261526436
oct47405262040
914616472324
105303002144
112281452000
12103bb6ab94
1366686acbb
14384416d56
15210859d64
hex13c156420

5303002144 has 96 divisors (see below), whose sum is σ = 12089770560. Its totient is φ = 2283240960.

The previous prime is 5303002139. The next prime is 5303002181. The reversal of 5303002144 is 4412003035.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 805972 + ... + 812524.

It is an arithmetic number, because the mean of its divisors is an integer number (125935110).

Almost surely, 25303002144 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 5303002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6044885280).

5303002144 is an abundant number, since it is smaller than the sum of its proper divisors (6786768416).

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

5303002144 is a wasteful number, since it uses less digits than its factorization.

5303002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6615 (or 6585 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 5303002144 is about 72821.7147834353. The cubic root of 5303002144 is about 1743.8425390200.

Adding to 5303002144 its reverse (4412003035), we get a palindrome (9715005179).

The spelling of 5303002144 in words is "five billion, three hundred three million, two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 121 152 176 209 242 304 352 418 484 608 836 968 1331 1672 1936 2299 2662 3344 3872 4598 5324 6553 6688 9196 10648 13106 18392 21296 25289 26212 36784 42592 50578 52424 72083 73568 101156 104848 124507 144166 202312 209696 249014 288332 404624 498028 576664 792913 809248 996056 1153328 1369577 1585826 1992112 2306656 2739154 3171652 3984224 5478308 6343304 8722043 10956616 12686608 15065347 17444086 21913232 25373216 30130694 34888172 43826464 60261388 69776344 120522776 139552688 165718817 241045552 279105376 331437634 482091104 662875268 1325750536 2651501072 5303002144