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5141215044 = 2233724392213
BaseRepresentation
bin1001100100111000…
…01011011101000100
3111021022002210012000
410302130023131010
541012122340134
62210054025300
7241255415100
oct46234133504
914238083160
105141215044
1121a9099a59
12bb5948230
1363c1a2ca4
1436ab40900
1520154ce99
hex13270b744

5141215044 has 144 divisors (see below), whose sum is σ = 15547593600. Its totient is φ = 1464910272.

The previous prime is 5141215031. The next prime is 5141215061. The reversal of 5141215044 is 4405121415.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5141214999 and 5141215017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2322082 + ... + 2324294.

It is an arithmetic number, because the mean of its divisors is an integer number (107969400).

Almost surely, 25141215044 is an apocalyptic number.

5141215044 is a gapful number since it is divisible by the number (54) 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 5141215044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7773796800).

5141215044 is an abundant number, since it is smaller than the sum of its proper divisors (10406378556).

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

5141215044 is a wasteful number, since it uses less digits than its factorization.

5141215044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5141215044 is about 71702.2666587326. The cubic root of 5141215044 is about 1725.9250146562.

Adding to 5141215044 its reverse (4405121415), we get a palindrome (9546336459).

The spelling of 5141215044 in words is "five billion, one hundred forty-one million, two hundred fifteen thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 439 441 588 756 878 882 1317 1323 1756 1764 2213 2634 2646 3073 3951 4426 5268 5292 6146 6639 7902 8852 9219 11853 12292 13278 15491 15804 18438 19917 21511 23706 26556 27657 30982 36876 39834 43022 46473 47412 55314 59751 61964 64533 79668 82971 86044 92946 108437 110628 119502 129066 139419 165942 185892 193599 216874 239004 258132 278838 325311 331884 387198 418257 433748 557676 580797 650622 774396 836514 971507 975933 1161594 1301244 1673028 1943014 1951866 2323188 2914521 2927799 3886028 3903732 5829042 5855598 6800549 8743563 11658084 11711196 13601098 17487126 20401647 26230689 27202196 34974252 40803294 47603843 52461378 61204941 81606588 95207686 104922756 122409882 142811529 183614823 190415372 244819764 285623058 367229646 428434587 571246116 734459292 856869174 1285303761 1713738348 2570607522 5141215044