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303413432140 = 225721328438377
BaseRepresentation
bin1000110101001001101…
…10011000111101001100
31002000011101220100100201
410122210312120331030
514432342314312030
6351215230503244
730630603422500
oct4324466307514
91060141810321
10303413432140
11107749a773a5
124a978664b24
13227c5078540
1410984608300
157d5c1bb2ca
hex46a4d98f4c

303413432140 has 144 divisors (see below), whose sum is σ = 798586804512. Its totient is φ = 95980114944.

The previous prime is 303413432107. The next prime is 303413432149. The reversal of 303413432140 is 41234314303.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 303413432099 and 303413432108.

It is not an unprimeable number, because it can be changed into a prime (303413432149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36215632 + ... + 36224008.

It is an arithmetic number, because the mean of its divisors is an integer number (5545741698).

Almost surely, 2303413432140 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 303413432140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399293402256).

303413432140 is an abundant number, since it is smaller than the sum of its proper divisors (495173372372).

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

303413432140 is a wasteful number, since it uses less digits than its factorization.

303413432140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11256 (or 11247 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 303413432140 its reverse (41234314303), we get a palindrome (344647746443).

The spelling of 303413432140 in words is "three hundred three billion, four hundred thirteen million, four hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 2843 3185 5686 6370 8377 11372 12740 14215 16754 19901 28430 33508 36959 39802 41885 56860 58639 73918 79604 83770 99505 108901 117278 139307 147836 167540 184795 199010 217802 234556 258713 278614 293195 369590 398020 410473 435604 517426 544505 557228 586390 696535 739180 762307 820946 1034852 1089010 1172780 1293565 1393070 1524614 1641892 1810991 2052365 2178020 2587130 2786140 3049228 3621982 3811535 4104730 5174260 5336149 7243964 7623070 8209460 9054955 10672298 15246140 18109910 21344596 23815811 26680745 36219820 47631622 53361490 95263244 106722980 119079055 166710677 238158110 309605543 333421354 476316220 619211086 666842708 833553385 1166974739 1238422172 1548027715 1667106770 2167238801 2333949478 3096055430 3334213540 4334477602 4667898956 5834873695 6192110860 8668955204 10836194005 11669747390 15170671607 21672388010 23339494780 30341343214 43344776020 60682686428 75853358035 151706716070 303413432140