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5143414440 = 2335149347829
BaseRepresentation
bin1001100101001001…
…00100011010101000
3111021110020112012010
410302210210122220
541013203230230
62210213115520
7241313205243
oct46244443250
914243215163
105143414440
1121aa36143a
12bb6628ba0
1363c7930c8
1436b15425a
152018349b0
hex1329246a8

5143414440 has 128 divisors (see below), whose sum is σ = 15597360000. Its totient is φ = 1356807168.

The previous prime is 5143414433. The next prime is 5143414457. The reversal of 5143414440 is 444143415.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5143414398 and 5143414407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6203946 + ... + 6204774.

It is an arithmetic number, because the mean of its divisors is an integer number (121854375).

Almost surely, 25143414440 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 5143414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7798680000).

5143414440 is an abundant number, since it is smaller than the sum of its proper divisors (10453945560).

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

5143414440 is a wasteful number, since it uses less digits than its factorization.

5143414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 5143414440 is about 71717.6020234921. The cubic root of 5143414440 is about 1726.1710947083.

Adding to 5143414440 its reverse (444143415), we get a palindrome (5587557855).

The spelling of 5143414440 in words is "five billion, one hundred forty-three million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 149 298 347 447 596 694 745 829 894 1041 1192 1388 1490 1658 1735 1788 2082 2235 2487 2776 2980 3316 3470 3576 4145 4164 4470 4974 5205 5960 6632 6940 8290 8328 8940 9948 10410 12435 13880 16580 17880 19896 20820 24870 33160 41640 49740 51703 99480 103406 123521 155109 206812 247042 258515 287663 310218 370563 413624 494084 517030 575326 617605 620436 741126 775545 862989 988168 1034060 1150652 1235210 1240872 1438315 1482252 1551090 1725978 1852815 2068120 2301304 2470420 2876630 2964504 3102180 3451956 3705630 4314945 4940840 5753260 6204360 6903912 7411260 8629890 11506520 14822520 17259780 34519560 42861787 85723574 128585361 171447148 214308935 257170722 342894296 428617870 514341444 642926805 857235740 1028682888 1285853610 1714471480 2571707220 5143414440