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42214122322120 = 2357592555334281
BaseRepresentation
bin10011001100100101111011…
…10000111111100011001000
312112110122000202200211202101
421212102331300333203020
521013114010303301440
6225440522225443144
711614604206206430
oct1146227560774310
9175418022624671
1042214122322120
11124a59aa592751
1248994681a04b4
131a72a0bbb7a08
14a5d2628852c0
154d3145db569a
hex2664bdc3f8c8

42214122322120 has 64 divisors (see below), whose sum is σ = 110390440982400. Its totient is φ = 14228101271040.

The previous prime is 42214122322103. The next prime is 42214122322121. The reversal of 42214122322120 is 2122322141224.

It is a super-2 number, since 2×422141223221202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (42214122322121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1277650621 + ... + 1277683660.

It is an arithmetic number, because the mean of its divisors is an integer number (1724850640350).

Almost surely, 242214122322120 is an apocalyptic number.

42214122322120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42214122322120 is an abundant number, since it is smaller than the sum of its proper divisors (68176318660280).

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

42214122322120 is a wasteful number, since it uses less digits than its factorization.

42214122322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555334358 (or 2555334354 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 42214122322120 its reverse (2122322141224), we get a palindrome (44336444463344).

The spelling of 42214122322120 in words is "forty-two trillion, two hundred fourteen billion, one hundred twenty-two million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 59 70 118 140 236 280 295 413 472 590 826 1180 1652 2065 2360 3304 4130 8260 16520 2555334281 5110668562 10221337124 12776671405 17887339967 20442674248 25553342810 35774679934 51106685620 71549359868 89436699835 102213371240 143098719736 150764722579 178873399670 301529445158 357746799340 603058890316 715493598680 753823612895 1055353058053 1206117780632 1507647225790 2110706116106 3015294451580 4221412232212 5276765290265 6030588903160 8442824464424 10553530580530 21107061161060 42214122322120