Search a number
-
+
10420031230044 = 223171033637136351
BaseRepresentation
bin1001011110100001101001…
…0000101001000001011100
31100220010220220002112122020
42113220122100221001130
52331210210443330134
634054521332020140
72123552042033022
oct227503220510134
940803826075566
1010420031230044
113358123a85a97
12120357b461650
135a77b27872b7
142804917c6712
151310b01c5b49
hex97a1a42905c

10420031230044 has 96 divisors (see below), whose sum is σ = 26000882159616. Its totient is φ = 3236377420800.

The previous prime is 10420031230031. The next prime is 10420031230051. The reversal of 10420031230044 is 44003213002401.

It is a junction number, because it is equal to n+sod(n) for n = 10420031229996 and 10420031230023.

It is a congruent number.

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, 76352469 + ... + 76488819.

It is an arithmetic number, because the mean of its divisors is an integer number (270842522496).

Almost surely, 210420031230044 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 10420031230044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13000441079808).

10420031230044 is an abundant number, since it is smaller than the sum of its proper divisors (15580850929572).

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

10420031230044 is a wasteful number, since it uses less digits than its factorization.

10420031230044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140115 (or 140113 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10420031230044 its reverse (44003213002401), we get a palindrome (54423244232445).

The spelling of 10420031230044 in words is "ten trillion, four hundred twenty billion, thirty-one million, two hundred thirty thousand, forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 103 204 206 309 412 618 1236 1751 3502 3637 5253 7004 7274 10506 10911 14548 21012 21822 43644 61829 123658 136351 185487 247316 272702 370974 374611 409053 545404 741948 749222 818106 1123833 1498444 1636212 2247666 2317967 4495332 4635934 6368387 6953901 9271868 12736774 13907802 14044153 19105161 25473548 27815604 28088306 38210322 42132459 56176612 76420644 84264918 168529836 238750601 477501202 495908587 716251803 955002404 991817174 1432503606 1487725761 1983634348 2865007212 2975451522 5950903044 8430445979 16860891958 25291337937 33721783916 50582675874 51078584461 101165351748 102157168922 153235753383 204314337844 306471506766 612943013532 868335935837 1736671871674 2605007807511 3473343743348 5210015615022 10420031230044