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30525117725040 = 24351311171829121
BaseRepresentation
bin1101111000011001011101…
…10011000111100101110000
311000002011122221100002221020
412330030232303013211300
513000110420114200130
6144531013454255440
76300236605404621
oct674145663074560
9130064587302836
1030525117725040
1197a96a21930a4
12350bb801b7580
131405677301b03
147775d043da48
1537e065ad5e10
hex1bc32ecc7970

30525117725040 has 160 divisors (see below), whose sum is σ = 95431756476672. Its totient is φ = 8070985728000.

The previous prime is 30525117725021. The next prime is 30525117725057. The reversal of 30525117725040 is 4052771152503.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 30525117724983 and 30525117725001.

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, 36401680 + ... + 37230800.

Almost surely, 230525117725040 is an apocalyptic number.

30525117725040 is a gapful number since it is divisible by the number (30) 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 30525117725040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47715878238336).

30525117725040 is an abundant number, since it is smaller than the sum of its proper divisors (64906638751632).

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

30525117725040 is a wasteful number, since it uses less digits than its factorization.

30525117725040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830439 (or 830433 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 42.

Adding to 30525117725040 its reverse (4052771152503), we get a palindrome (34577888877543).

The spelling of 30525117725040 in words is "thirty trillion, five hundred twenty-five billion, one hundred seventeen million, seven hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 393 524 655 786 1048 1171 1310 1572 1965 2096 2342 2620 3144 3513 3930 4684 5240 5855 6288 7026 7860 9368 10480 11710 14052 15720 17565 18736 23420 28104 31440 35130 46840 56208 70260 93680 140520 153401 281040 306802 460203 613604 767005 829121 920406 1227208 1534010 1658242 1840812 2301015 2454416 2487363 3068020 3316484 3681624 4145605 4602030 4974726 6136040 6632968 7363248 8291210 9204060 9949452 12272080 12436815 13265936 16582420 18408120 19898904 24873630 33164840 36816240 39797808 49747260 66329680 99494520 108614851 198989040 217229702 325844553 434459404 543074255 651689106 868918808 970900691 1086148510 1303378212 1629222765 1737837616 1941801382 2172297020 2606756424 2912702073 3258445530 3883602764 4344594040 4854503455 5213512848 5825404146 6516891060 7767205528 8689188080 9709006910 11650808292 13033782120 14563510365 15534411056 19418013820 23301616584 26067564240 29127020730 38836027640 46603233168 58254041460 77672055280 116508082920 127187990521 233016165840 254375981042 381563971563 508751962084 635939952605 763127943126 1017503924168 1271879905210 1526255886252 1907819857815 2035007848336 2543759810420 3052511772504 3815639715630 5087519620840 6105023545008 7631279431260 10175039241680 15262558862520 30525117725040