Search a number
-
+
45223410131040 = 2535678113894033
BaseRepresentation
bin10100100100001011001010…
…10010111110000001100000
312221010022112012121200211110
422102011211102332001200
521411420020443143130
6240103203043143320
712345166155430611
oct1222054522760140
9187108465550743
1045223410131040
1113456160057769
1250a4724674b40
131c3071a9b7a2b
14b24b790b1c08
15536570bd7ab0
hex2921654be060

45223410131040 has 96 divisors (see below), whose sum is σ = 142474759945056. Its totient is φ = 12057796730880.

The previous prime is 45223410130993. The next prime is 45223410131063. The reversal of 45223410131040 is 4013101432254.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45223410130989 and 45223410131007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3692137 + ... + 10201896.

It is an arithmetic number, because the mean of its divisors is an integer number (1484112082761).

Almost surely, 245223410131040 is an apocalyptic number.

45223410131040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45223410131040 is an abundant number, since it is smaller than the sum of its proper divisors (97251349814016).

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

45223410131040 is a wasteful number, since it uses less digits than its factorization.

45223410131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13900832 (or 13900824 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 45223410131040 its reverse (4013101432254), we get a palindrome (49236511563294).

The spelling of 45223410131040 in words is "forty-five trillion, two hundred twenty-three billion, four hundred ten million, one hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 6781 13562 20343 27124 33905 40686 54248 67810 81372 101715 108496 135620 162744 203430 216992 271240 325488 406860 542480 650976 813720 1084960 1627440 3254880 13894033 27788066 41682099 55576132 69470165 83364198 111152264 138940330 166728396 208410495 222304528 277880660 333456792 416820990 444609056 555761320 666913584 833641980 1111522640 1333827168 1667283960 2223045280 3334567920 6669135840 94215437773 188430875546 282646313319 376861751092 471077188865 565292626638 753723502184 942154377730 1130585253276 1413231566595 1507447004368 1884308755460 2261170506552 2826463133190 3014894008736 3768617510920 4522341013104 5652926266380 7537235021840 9044682026208 11305852532760 15074470043680 22611705065520 45223410131040