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422545204004120 = 235373177511199257
BaseRepresentation
bin110000000010011010111100…
…0110010010100010100011000
32001102002221000210002112002222
41200010311320302110110120
5420340440034211112440
64054402330440043212
7155000612030022311
oct14004657062242430
92042087023075088
10422545204004120
111126aa461a252aa
123b484111a63508
13151a0ac3481742
14764b422d4d608
1533cb5853ae2b5
hex1804d78c94518

422545204004120 has 128 divisors (see below), whose sum is σ = 980807302920960. Its totient is φ = 163712835072000.

The previous prime is 422545204004117. The next prime is 422545204004179. The reversal of 422545204004120 is 21400402545224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351739532 + ... + 352938788.

It is an arithmetic number, because the mean of its divisors is an integer number (7662557054070).

Almost surely, 2422545204004120 is an apocalyptic number.

422545204004120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422545204004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490403651460480).

422545204004120 is an abundant number, since it is smaller than the sum of its proper divisors (558262098916840).

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

422545204004120 is a wasteful number, since it uses less digits than its factorization.

422545204004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200373 (or 1200369 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 35.

Adding to 422545204004120 its reverse (21400402545224), we get a palindrome (443945606549344).

The spelling of 422545204004120 in words is "four hundred twenty-two trillion, five hundred forty-five billion, two hundred four million, four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 317 370 634 740 751 1268 1480 1502 1585 2536 3004 3170 3755 6008 6340 7510 11729 12680 15020 23458 27787 30040 46916 55574 58645 93832 111148 117290 138935 222296 234580 238067 277870 469160 476134 555740 952268 1111480 1190335 1199257 1904536 2380670 2398514 4761340 4797028 5996285 8808479 9522680 9594056 11992570 17616958 23985140 35233916 44042395 44372509 47970280 70467832 88084790 88745018 176169580 177490036 221862545 352339160 354980072 380164469 443725090 760328938 887450180 900642007 1520657876 1774900360 1801284014 1900822345 3041315752 3602568028 3801644690 4503210035 7205136056 7603289380 9006420070 14066085353 15206578760 18012840140 28132170706 33323754259 36025680280 56264341412 66647508518 70330426765 112528682824 133295017036 140660853530 166618771295 266590034072 281321707060 285503516219 333237542590 562643414120 571007032438 666475085180 1142014064876 1332950170360 1427517581095 2284028129752 2855035162190 5710070324380 10563630100103 11420140648760 21127260200206 42254520400412 52818150500515 84509040800824 105636301001030 211272602002060 422545204004120