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45351412040 = 235111714334231
BaseRepresentation
bin101010001111001001…
…111010000101001000
311100001121200102202102
4222033021322011020
51220334430141130
632500102052532
73163564433114
oct521711720510
9140047612672
1045351412040
1118262765120
12895811a148
13437996cc6c
1422a31c6744
1512a6705645
hexa8f27a148

45351412040 has 128 divisors (see below), whose sum is σ = 117975294720. Its totient is φ = 15506841600.

The previous prime is 45351412039. The next prime is 45351412069. The reversal of 45351412040 is 4021415354.

It is a junction number, because it is equal to n+sod(n) for n = 45351411994 and 45351412012.

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, 10716725 + ... + 10720955.

It is an arithmetic number, because the mean of its divisors is an integer number (921681990).

Almost surely, 245351412040 is an apocalyptic number.

45351412040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45351412040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58987647360).

45351412040 is an abundant number, since it is smaller than the sum of its proper divisors (72623882680).

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

45351412040 is a wasteful number, since it uses less digits than its factorization.

45351412040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5703 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 45351412040 its reverse (4021415354), we get a palindrome (49372827394).

The spelling of 45351412040 in words is "forty-five billion, three hundred fifty-one million, four hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1433 1496 1870 2866 3740 4231 5732 7165 7480 8462 11464 14330 15763 16924 21155 24361 28660 31526 33848 42310 46541 48722 57320 63052 71927 78815 84620 93082 97444 121805 126104 143854 157630 169240 186164 194888 232705 243610 267971 287708 315260 359635 372328 465410 487220 535942 575416 630520 719270 791197 930820 974440 1071884 1339855 1438540 1582394 1861640 2143768 2679710 2877080 3164788 3955985 5359420 6063023 6329576 7911970 10718840 12126046 15823940 24252092 30315115 31647880 48504184 60630230 66693253 103071391 121260460 133386506 206142782 242520920 266773012 333466265 412285564 515356955 533546024 666932530 824571128 1030713910 1133785301 1333865060 2061427820 2267570602 2667730120 4122855640 4535141204 5668926505 9070282408 11337853010 22675706020 45351412040