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402440220240 = 24352323169819
BaseRepresentation
bin1011101101100110100…
…11100110111001010000
31102110202202021101212020
411312303103212321100
523043144144021430
6504513430331440
741034562300512
oct5666323467120
91373682241766
10402440220240
11145746015a43
1265bb44b9b80
132bc47069b46
141569a2d1bb2
15a705c66b10
hex5db34e6e50

402440220240 has 120 divisors (see below), whose sum is σ = 1304165382240. Its totient is φ = 102651386112.

The previous prime is 402440220239. The next prime is 402440220251. The reversal of 402440220240 is 42022044204.

It is a tau number, because it is divible by the number of its divisors (120).

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 402440220240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1457950 + ... + 1711869.

It is an arithmetic number, because the mean of its divisors is an integer number (10868044852).

Almost surely, 2402440220240 is an apocalyptic number.

402440220240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402440220240 is an abundant number, since it is smaller than the sum of its proper divisors (901725162000).

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

402440220240 is a wasteful number, since it uses less digits than its factorization.

402440220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169881 (or 3169852 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 402440220240 its reverse (42022044204), we get a palindrome (444462264444).

The spelling of 402440220240 in words is "four hundred two billion, four hundred forty million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 529 552 690 920 1058 1104 1380 1587 1840 2116 2645 2760 3174 4232 5290 5520 6348 7935 8464 10580 12696 15870 21160 25392 31740 42320 63480 126960 3169819 6339638 9509457 12679276 15849095 19018914 25358552 31698190 38037828 47547285 50717104 63396380 72905837 76075656 95094570 126792760 145811674 152151312 190189140 218717511 253585520 291623348 364529185 380378280 437435022 583246696 729058370 760756560 874870044 1093587555 1166493392 1458116740 1676834251 1749740088 2187175110 2916233480 3353668502 3499480176 4374350220 5030502753 5832466960 6707337004 8384171255 8748700440 10061005506 13414674008 16768342510 17497400880 20122011012 25152513765 26829348016 33536685020 40244022024 50305027530 67073370040 80488044048 100610055060 134146740080 201220110120 402440220240