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42431143040 = 2751113463627
BaseRepresentation
bin100111100001000101…
…111101110010000000
311001112002200101210022
4213201011331302000
51143344333034130
631254222353012
73031324523246
oct474105756200
9131462611708
1042431143040
1116aa4301870
12828212b768
134002953540
1420a7416796
1511851607e5
hex9e117dc80

42431143040 has 128 divisors (see below), whose sum is σ = 119170941120. Its totient is φ = 14242590720.

The previous prime is 42431143037. The next prime is 42431143063. The reversal of 42431143040 is 4034113424.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140294 + ... + 323333.

Almost surely, 242431143040 is an apocalyptic number.

42431143040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42431143040 is an abundant number, since it is smaller than the sum of its proper divisors (76739798080).

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

42431143040 is a wasteful number, since it uses less digits than its factorization.

42431143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463670 (or 463658 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 42431143040 its reverse (4034113424), we get a palindrome (46465256464).

The spelling of 42431143040 in words is "forty-two billion, four hundred thirty-one million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 176 208 220 260 286 320 352 416 440 520 572 640 704 715 832 880 1040 1144 1408 1430 1664 1760 2080 2288 2860 3520 4160 4576 5720 7040 8320 9152 11440 18304 22880 45760 91520 463627 927254 1854508 2318135 3709016 4636270 5099897 6027151 7418032 9272540 10199794 12054302 14836064 18545080 20399588 24108604 25499485 29672128 30135755 37090160 40799176 48217208 50998970 59344256 60271510 66298661 74180320 81598352 96434416 101997940 120543020 132597322 148360640 163196704 192868832 203995880 241086040 265194644 296721280 326393408 331493305 385737664 407991760 482172080 530389288 652786816 662986610 771475328 815983520 964344160 1060778576 1325973220 1631967040 1928688320 2121557152 2651946440 3263934080 3857376640 4243114304 5303892880 8486228608 10607785760 21215571520 42431143040