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94145335440 = 24351371424997
BaseRepresentation
bin101011110101101111…
…1111101000010010000
3100000000011001120022120
41113223133331002100
53020302201213230
6111125541134240
76542003101422
oct1275337750220
9300004046276
1094145335440
1136a21650a52
12162b50ba380
138b5489b6a0
1447b1684812
1526b025e310
hex15eb7fd090

94145335440 has 160 divisors (see below), whose sum is σ = 318728100096. Its totient is φ = 22847784960.

The previous prime is 94145335363. The next prime is 94145335447. The reversal of 94145335440 is 4453354149.

It is a super-2 number, since 2×941453354402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 94145335392 and 94145335401.

It is not an unprimeable number, because it can be changed into a prime (94145335447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9022 + ... + 434018.

Almost surely, 294145335440 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 94145335440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159364050048).

94145335440 is an abundant number, since it is smaller than the sum of its proper divisors (224582764656).

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

94145335440 is a wasteful number, since it uses less digits than its factorization.

94145335440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425097 (or 425091 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

Adding to 94145335440 its reverse (4453354149), we get a palindrome (98598689589).

The spelling of 94145335440 in words is "ninety-four billion, one hundred forty-five million, three hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 71 78 80 104 120 130 142 156 195 208 213 240 260 284 312 355 390 426 520 568 624 710 780 852 923 1040 1065 1136 1420 1560 1704 1846 2130 2769 2840 3120 3408 3692 4260 4615 5538 5680 7384 8520 9230 11076 13845 14768 17040 18460 22152 27690 36920 44304 55380 73840 110760 221520 424997 849994 1274991 1699988 2124985 2549982 3399976 4249970 5099964 5524961 6374955 6799952 8499940 10199928 11049922 12749910 16574883 16999880 20399856 22099844 25499820 27624805 30174787 33149766 33999760 44199688 50999640 55249610 60349574 66299532 82874415 88399376 90524361 101999280 110499220 120699148 132599064 150873935 165748830 181048722 220998440 241398296 265198128 301747870 331497660 362097444 392272231 441996880 452621805 482796592 603495740 662995320 724194888 784544462 905243610 1176816693 1206991480 1325990640 1448389776 1569088924 1810487220 1961361155 2353633386 2413982960 3138177848 3620974440 3922722310 4707266772 5884083465 6276355696 7241948880 7845444620 9414533544 11768166930 15690889240 18829067088 23536333860 31381778480 47072667720 94145335440