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421644446124 = 2231125913273709
BaseRepresentation
bin1100010001010111111…
…01111010100110101100
31111022100010102011020120
412020223331322212230
523402011434233444
6521411211444540
742314512441326
oct6105375724654
91438303364216
10421644446124
11152900330100
1269873a56750
13309b7911205
141659ca2c616
15ae7bbe2b19
hex622bf7a9ac

421644446124 has 144 divisors (see below), whose sum is σ = 1100862067200. Its totient is φ = 125476940160.

The previous prime is 421644446123. The next prime is 421644446137.

421644446124 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (421644446123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113679582 + ... + 113683290.

Almost surely, 2421644446124 is an apocalyptic number.

421644446124 is a gapful number since it is divisible by the number (44) 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 421644446124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550431033600).

421644446124 is an abundant number, since it is smaller than the sum of its proper divisors (679217621076).

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

421644446124 is a wasteful number, since it uses less digits than its factorization.

421644446124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5124 (or 5111 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

It can be divided in two parts, 421644 and 446124, that added together give a palindrome (867768).

The spelling of 421644446124 in words is "four hundred twenty-one billion, six hundred forty-four million, four hundred forty-six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 121 132 177 236 242 354 363 484 649 708 726 1298 1327 1452 1947 2596 2654 3709 3894 3981 5308 7139 7418 7788 7962 11127 14278 14597 14836 15924 21417 22254 28556 29194 40799 42834 43791 44508 58388 78293 81598 85668 87582 122397 156586 160567 163196 175164 218831 234879 244794 313172 321134 437662 448789 469758 481701 489588 642268 656493 861223 875324 897578 939516 963402 1312986 1346367 1722446 1795156 1926804 2407141 2583669 2625972 2692734 3444892 4814282 4921843 5167338 5385468 7221423 9473453 9628564 9843686 10334676 14442846 14765529 18946906 19687372 26478551 28420359 28885692 29531058 37893812 52957102 54140273 56840718 59062116 79435653 105914204 108280546 113681436 158871306 162420819 216561092 290388737 317742612 324841638 580777474 595543003 649683276 871166211 1161554948 1191086006 1742332422 1786629009 2382172012 3194276107 3484664844 3573258018 6388552214 7146516036 9582828321 12777104428 19165656642 35137037177 38331313284 70274074354 105411111531 140548148708 210822223062 421644446124