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42142403400 = 2335283846233
BaseRepresentation
bin100111001111111000…
…100000101101001000
311000202222100220110120
4213033320200231020
51142301423402100
631205425543240
73021220342566
oct471770405510
9130688326416
1042142403400
1116966319469
1282014a4b20
133c87b98b96
14207ad34a36
151169b280a0
hex9cfe20b48

42142403400 has 96 divisors (see below), whose sum is σ = 132215600160. Its totient is φ = 11102563840.

The previous prime is 42142403383. The next prime is 42142403437. The reversal of 42142403400 is 430424124.

It is a happy number.

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

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 23 ways as a sum of consecutive naturals, for example, 373317 + ... + 472916.

It is an arithmetic number, because the mean of its divisors is an integer number (1377245835).

Almost surely, 242142403400 is an apocalyptic number.

42142403400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42142403400 is an abundant number, since it is smaller than the sum of its proper divisors (90073196760).

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

42142403400 is a wasteful number, since it uses less digits than its factorization.

42142403400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846335 (or 846326 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42142403400 its reverse (430424124), we get a palindrome (42572827524).

The spelling of 42142403400 in words is "forty-two billion, one hundred forty-two million, four hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 150 166 200 249 300 332 415 498 600 664 830 996 1245 1660 1992 2075 2490 3320 4150 4980 6225 8300 9960 12450 16600 24900 49800 846233 1692466 2538699 3384932 4231165 5077398 6769864 8462330 10154796 12693495 16924660 20309592 21155825 25386990 33849320 42311650 50773980 63467475 70237339 84623300 101547960 126934950 140474678 169246600 210712017 253869900 280949356 351186695 421424034 507739800 561898712 702373390 842848068 1053560085 1404746780 1685696136 1755933475 2107120170 2809493560 3511866950 4214240340 5267800425 7023733900 8428480680 10535600850 14047467800 21071201700 42142403400