Search a number
-
+
42203011013430 = 23519831793949727
BaseRepresentation
bin10011001100010001001110…
…11110101101101100110110
312112102120100101210212200220
421212020213132231230312
521012423231304412210
6225431443503515210
711614031645511441
oct1146104736555466
9175376311725626
1042203011013430
11124a121853a003
124897286bb8b06
131a7195abba447
14a5c8cacbc658
154d2be568ac70
hex2662277adb36

42203011013430 has 128 divisors (see below), whose sum is σ = 107910873907200. Its totient is φ = 10532558738304.

The previous prime is 42203011013407. The next prime is 42203011013441. The reversal of 42203011013430 is 3431011030224.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42203011013430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 848669227 + ... + 848718953.

It is an arithmetic number, because the mean of its divisors is an integer number (843053702400).

Almost surely, 242203011013430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42203011013430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53955436953600).

42203011013430 is an abundant number, since it is smaller than the sum of its proper divisors (65707862893770).

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

42203011013430 is a wasteful number, since it uses less digits than its factorization.

42203011013430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67778.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 42203011013430 its reverse (3431011030224), we get a palindrome (45634022043654).

The spelling of 42203011013430 in words is "forty-two trillion, two hundred three billion, eleven million, thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 83 95 114 166 190 249 285 415 498 570 830 1245 1577 2490 3154 4731 7885 9462 15770 17939 23655 35878 47310 49727 53817 89695 99454 107634 149181 179390 248635 269085 298362 340841 497270 538170 681682 745905 944813 1022523 1488937 1491810 1704205 1889626 2045046 2834439 2977874 3408410 4127341 4466811 4724065 5112615 5668878 7444685 8254682 8933622 9448130 10225230 12382023 14172195 14889370 20636705 22334055 24764046 28289803 28344390 41273410 44668110 56579606 61910115 78419479 84869409 123820230 141449015 156838958 169738818 235258437 282898030 392097395 424347045 470516874 784194790 848694090 892052653 1176292185 1784105306 2352584370 2676157959 4460263265 5352315918 8920526530 13380789795 16949000407 26761579590 33898000814 50847001221 74040370199 84745002035 101694002442 148080740398 169490004070 222121110597 254235006105 370201850995 444242221194 508470012210 740403701990 1110605552985 1406767033781 2221211105970 2813534067562 4220301101343 7033835168905 8440602202686 14067670337810 21101505506715 42203011013430