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5303432134144 = 29531494013271
BaseRepresentation
bin100110100101100110100…
…1100000011111000000000
3200210000002022012122002201
41031023031030003320000
51143342412111243034
615140210232122544
71055105664226504
oct115131514037000
920700068178081
105303432134144
11176519a1a7a61
12717a10836454
132c615ac8a181
1414498a65c304
1592e4b384014
hex4d2cd303e00

5303432134144 has 160 divisors (see below), whose sum is σ = 10899334987200. Its totient is φ = 2576990208000.

The previous prime is 5303432134141. The next prime is 5303432134201. The reversal of 5303432134144 is 4414312343035.

It is a super-2 number, since 2×53034321341442 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5303432134141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1621347229 + ... + 1621350499.

It is an arithmetic number, because the mean of its divisors is an integer number (68120843670).

Almost surely, 25303432134144 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 5303432134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5449667493600).

5303432134144 is an abundant number, since it is smaller than the sum of its proper divisors (5595902853056).

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

5303432134144 is a wasteful number, since it uses less digits than its factorization.

5303432134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 37.

Adding to 5303432134144 its reverse (4414312343035), we get a palindrome (9717744477179).

The spelling of 5303432134144 in words is "five trillion, three hundred three billion, four hundred thirty-two million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 149 212 256 298 401 424 512 596 802 848 1192 1604 1696 2384 3208 3271 3392 4768 6416 6542 6784 7897 9536 12832 13084 13568 15794 19072 21253 25664 26168 27136 31588 38144 42506 51328 52336 59749 63176 76288 85012 102656 104672 119498 126352 170024 173363 205312 209344 238996 252704 340048 346726 418688 477992 487379 505408 680096 693452 837376 955984 974758 1010816 1311671 1360192 1386904 1674752 1911968 1949516 2021632 2623342 2720384 2773808 3166697 3823936 3899032 4043264 5246684 5440768 5547616 6333394 7647872 7798064 10493368 10881536 11095232 12666788 15295744 15596128 20986736 22190464 25333576 25831087 30591488 31192256 41973472 44380928 50667152 51662174 62384512 69518563 83946944 88761856 101334304 103324348 124769024 139037126 167893888 195438979 202668608 206648696 249538048 278074252 335787776 390877958 405337216 413297392 556148504 671575552 781755916 810674432 826594784 1112297008 1563511832 1621348864 1653189568 2224594016 3127023664 3306379136 4449188032 6254047328 6612758272 8898376064 10358265887 12508094656 13225516544 17796752128 20716531774 25016189312 35593504256 41433063548 50032378624 82866127096 100064757248 165732254192 331464508384 662929016768 1325858033536 2651716067072 5303432134144