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151022413040 = 24571159716649
BaseRepresentation
bin1000110010100110100…
…0110010010011110000
3112102211000022110220012
42030221220302103300
54433243214204130
6153213450234052
713624322221202
oct2145150622360
9472730273805
10151022413040
1159059240204
1225329125928
131131a3361a5
147449494772
153ddd73b995
hex2329a324f0

151022413040 has 80 divisors (see below), whose sum is σ = 356316926400. Its totient is φ = 59517265920.

The previous prime is 151022412991. The next prime is 151022413099. The reversal of 151022413040 is 40314220151.

151022413040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1510224130403 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 151022412997 and 151022413015.

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, 9062636 + ... + 9079284.

It is an arithmetic number, because the mean of its divisors is an integer number (4453961580).

Almost surely, 2151022413040 is an apocalyptic number.

151022413040 is a gapful number since it is divisible by the number (10) 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 151022413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178158463200).

151022413040 is an abundant number, since it is smaller than the sum of its proper divisors (205294513360).

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

151022413040 is a wasteful number, since it uses less digits than its factorization.

151022413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18330 (or 18324 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 151022413040 its reverse (40314220151), we get a palindrome (191336633191).

The spelling of 151022413040 in words is "one hundred fifty-one billion, twenty-two million, four hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 1597 2840 3194 5680 6388 7985 12776 15970 16649 25552 31940 33298 63880 66596 83245 113387 127760 133192 166490 226774 266384 332980 453548 566935 665960 907096 1133870 1182079 1331920 1814192 2267740 2364158 4535480 4728316 5910395 9070960 9456632 11820790 18913264 23641580 26588453 47283160 53176906 94566320 106353812 132942265 212707624 265884530 425415248 531769060 1063538120 1887780163 2127076240 3775560326 7551120652 9438900815 15102241304 18877801630 30204482608 37755603260 75511206520 151022413040