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1420464104436 = 2231327911517703
BaseRepresentation
bin10100101010111010010…
…000100010001111110100
312000210110120211000022210
4110222322100202033310
5141233102302320221
63004315135253420
7204424265446056
oct24527220421764
95023416730283
101420464104436
114a8462a568a3
121ab36667a270
13a3c454a9300
144ca723c18d6
1526e39a03276
hex14aba4223f4

1420464104436 has 144 divisors (see below), whose sum is σ = 3638043279360. Its totient is φ = 431102505600.

The previous prime is 1420464104419. The next prime is 1420464104443. The reversal of 1420464104436 is 6344014640241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1420464104394 and 1420464104403.

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 47 ways as a sum of consecutive naturals, for example, 184400161 + ... + 184407863.

It is an arithmetic number, because the mean of its divisors is an integer number (25264189440).

Almost surely, 21420464104436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420464104436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819021639680).

1420464104436 is an abundant number, since it is smaller than the sum of its proper divisors (2217579174924).

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

1420464104436 is a wasteful number, since it uses less digits than its factorization.

1420464104436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8966 (or 8951 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

Adding to 1420464104436 its reverse (6344014640241), we get a palindrome (7764478744677).

The spelling of 1420464104436 in words is "one trillion, four hundred twenty billion, four hundred sixty-four million, one hundred four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 79 156 158 169 237 316 338 474 507 676 948 1014 1027 1151 2028 2054 2302 3081 3453 4108 4604 6162 6906 7703 12324 13351 13812 14963 15406 23109 26702 29926 30812 40053 44889 46218 53404 59852 80106 89778 90929 92436 100139 160212 179556 181858 194519 200278 272787 300417 363716 389038 400556 545574 583557 600834 608537 778076 1091148 1167114 1182077 1201668 1217074 1301807 1825611 2334228 2364154 2434148 2603614 3546231 3651222 3905421 4728308 5207228 7092462 7302444 7810842 7910981 8866153 14184924 15367001 15621684 15821962 17732306 23732943 26598459 30734002 31643924 35464612 46101003 47465886 53196918 61468004 92202006 94931772 102842753 106393836 115259989 184404012 205685506 230519978 308528259 345779967 411371012 461039956 617056518 691559934 700426087 1234113036 1383119868 1400852174 1498379857 2101278261 2801704348 2996759714 4202556522 4495139571 5993519428 8405113044 8990279142 9105539131 17980558284 18211078262 27316617393 36422156524 54633234786 109266469572 118372008703 236744017406 355116026109 473488034812 710232052218 1420464104436