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5541444440 = 2357172394871
BaseRepresentation
bin1010010100100101…
…11011101101011000
3112022012012112200222
411022102323231120
542322102210230
62313512215212
7254215333460
oct51222735530
915265175628
105541444440
112394001254
1210a799a508
136a4094b0c
143a7d64ba0
152267596e5
hex14a4bbb58

5541444440 has 128 divisors (see below), whose sum is σ = 15153868800. Its totient is φ = 1780316160.

The previous prime is 5541444437. The next prime is 5541444451. The reversal of 5541444440 is 444441455.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 5541444440.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1135205 + ... + 1140075.

It is an arithmetic number, because the mean of its divisors is an integer number (118389600).

Almost surely, 25541444440 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 5541444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7576934400).

5541444440 is an abundant number, since it is smaller than the sum of its proper divisors (9612424360).

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

5541444440 is a wasteful number, since it uses less digits than its factorization.

5541444440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5145 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 35.

The square root of 5541444440 is about 74440.8788233992. The cubic root of 5541444440 is about 1769.5968141209.

Adding to 5541444440 its reverse (444441455), we get a palindrome (5985885895).

The spelling of 5541444440 in words is "five billion, five hundred forty-one million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 239 280 340 476 478 595 680 952 956 1190 1195 1673 1912 2380 2390 3346 4063 4760 4780 4871 6692 8126 8365 9560 9742 13384 16252 16730 19484 20315 24355 28441 32504 33460 34097 38968 40630 48710 56882 66920 68194 81260 82807 97420 113764 136388 142205 162520 165614 170485 194840 227528 272776 284410 331228 340970 414035 568820 579649 662456 681940 828070 1137640 1159298 1164169 1363880 1656140 2318596 2328338 2898245 3312280 4637192 4656676 5796490 5820845 8149183 9313352 11592980 11641690 16298366 19790873 23185960 23283380 32596732 39581746 40745915 46566760 65193464 79163492 81491830 98954365 138536111 158326984 162983660 197908730 277072222 325967320 395817460 554144444 692680555 791634920 1108288888 1385361110 2770722220 5541444440