Search a number
-
+
421143103332 = 22347375018627
BaseRepresentation
bin1100010000011100001…
…01011100011101100100
31111021001012001022020000
412020032011130131210
523400000113301312
6521245342141300
742266214212460
oct6101605343544
91437035038200
10421143103332
11152673336916
1269753b81830
1330937aa8b83
14165522074a0
15ae4cbb1adc
hex620e15c764

421143103332 has 120 divisors (see below), whose sum is σ = 1292236486464. Its totient is φ = 117074507328.

The previous prime is 421143103313. The next prime is 421143103349. The reversal of 421143103332 is 233301341124.

It is a happy number.

421143103332 is a `hidden beast` number, since 4 + 2 + 1 + 14 + 310 + 3 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 421143103296 and 421143103305.

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 39 ways as a sum of consecutive naturals, for example, 2425398 + ... + 2593229.

Almost surely, 2421143103332 is an apocalyptic number.

421143103332 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

421143103332 is an abundant number, since it is smaller than the sum of its proper divisors (871093383132).

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

421143103332 is a wasteful number, since it uses less digits than its factorization.

421143103332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5018687 (or 5018676 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 421143103332 its reverse (233301341124), we get a palindrome (654444444456).

The spelling of 421143103332 in words is "four hundred twenty-one billion, one hundred forty-three million, one hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 81 84 108 111 126 148 162 189 222 252 259 324 333 378 444 518 567 666 756 777 999 1036 1134 1332 1554 1998 2268 2331 2997 3108 3996 4662 5994 6993 9324 11988 13986 20979 27972 41958 83916 5018627 10037254 15055881 20074508 30111762 35130389 45167643 60223524 70260778 90335286 105391167 135502929 140521556 180670572 185689199 210782334 271005858 316173501 371378398 406508787 421564668 542011716 557067597 632347002 742756796 813017574 948520503 1114135194 1264694004 1299824393 1626035148 1671202791 1897041006 2228270388 2599648786 2845561509 3342405582 3794082012 3899473179 5013608373 5199297572 5691123018 6684811164 7798946358 10027216746 11382246036 11698419537 15040825119 15597892716 20054433492 23396839074 30081650238 35095258611 46793678148 60163300476 70190517222 105285775833 140381034444 210571551666 421143103332