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420423010440 = 2335171046319697
BaseRepresentation
bin1100001111000110010…
…10100000100010001000
31111012012000001210110220
412013203022200202020
523342011242313230
6521050100110040
742242321424336
oct6074312404210
91435160053426
10420423010440
11152333913424
1269592995320
1330851852cc4
14164c471cb56
15ae09870d10
hex61e32a0888

420423010440 has 128 divisors (see below), whose sum is σ = 1335656770560. Its totient is φ = 105502490624.

The previous prime is 420423010409. The next prime is 420423010517. The reversal of 420423010440 is 44010324024.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 420423010440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21334672 + ... + 21354368.

It is an arithmetic number, because the mean of its divisors is an integer number (10434818520).

Almost surely, 2420423010440 is an apocalyptic number.

420423010440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420423010440 is an abundant number, since it is smaller than the sum of its proper divisors (915233760120).

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

420423010440 is a wasteful number, since it uses less digits than its factorization.

420423010440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30191 (or 30187 counting only the distinct ones).

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

Adding to 420423010440 its reverse (44010324024), we get a palindrome (464433334464).

The spelling of 420423010440 in words is "four hundred twenty billion, four hundred twenty-three million, ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 10463 19697 20926 31389 39394 41852 52315 59091 62778 78788 83704 98485 104630 118182 125556 156945 157576 177871 196970 209260 236364 251112 295455 313890 334849 355742 393940 418520 472728 533613 590910 627780 669698 711484 787880 889355 1004547 1067226 1181820 1255560 1339396 1422968 1674245 1778710 2009094 2134452 2363640 2668065 2678792 3348490 3557420 4018188 4268904 5022735 5336130 6696980 7114840 8036376 10045470 10672260 13393960 20090940 21344520 40181880 206089711 412179422 618269133 824358844 1030448555 1236538266 1648717688 2060897110 2473076532 3091345665 3503525087 4121794220 4946153064 6182691330 7007050174 8243588440 10510575261 12365382660 14014100348 17517625435 21021150522 24730765320 28028200696 35035250870 42042301044 52552876305 70070501740 84084602088 105105752610 140141003480 210211505220 420423010440