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201403330440 = 233513432729837
BaseRepresentation
bin1011101110010010010…
…0101110111110001000
3201020212010220020221220
42323210210232332020
511244433223033230
6232305020202040
720356651030254
oct2734444567610
9636763806856
10201403330440
1178461a25124
1233049699320
1315cb8c95810
149a6861d264
15538b775d10
hex2ee492ef88

201403330440 has 128 divisors (see below), whose sum is σ = 650859874560. Its totient is φ = 49563085824.

The previous prime is 201403330439. The next prime is 201403330463. The reversal of 201403330440 is 44033304102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201403330440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6735202 + ... + 6765038.

It is an arithmetic number, because the mean of its divisors is an integer number (5084842770).

Almost surely, 2201403330440 is an apocalyptic number.

201403330440 is a gapful number since it is divisible by the number (20) 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 201403330440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325429937280).

201403330440 is an abundant number, since it is smaller than the sum of its proper divisors (449456544120).

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

201403330440 is a wasteful number, since it uses less digits than its factorization.

201403330440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34191 (or 34187 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 201403330440 its reverse (44033304102), we get a palindrome (245436634542).

The spelling of 201403330440 in words is "two hundred one billion, four hundred three million, three hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 4327 8654 12981 17308 21635 25962 29837 34616 43270 51924 56251 59674 64905 86540 89511 103848 112502 119348 129810 149185 168753 173080 179022 225004 238696 259620 281255 298370 337506 358044 387881 447555 450008 519240 562510 596740 675012 716088 775762 843765 895110 1125020 1163643 1193480 1350024 1551524 1687530 1790220 1939405 2250040 2327286 3103048 3375060 3580440 3878810 4654572 5818215 6750120 7757620 9309144 11636430 15515240 23272860 46545720 129104699 258209398 387314097 516418796 645523495 774628194 1032837592 1291046990 1549256388 1678361087 1936570485 2582093980 3098512776 3356722174 3873140970 5035083261 5164187960 6713444348 7746281940 8391805435 10070166522 13426888696 15492563880 16783610870 20140333044 25175416305 33567221740 40280666088 50350832610 67134443480 100701665220 201403330440