Search a number
-
+
1450711010336 = 257179128928069
BaseRepresentation
bin10101000111000101000…
…111010100110000100000
312010200112112201000220212
4111013011013110300200
5142232024004312321
63030240351353252
7206544654062150
oct25070507246040
95120475630825
101450711010336
1150a2745aa995
121b51a8222828
13a6a55a6c673
145030153c760
1527b0a14e55b
hex151c51d4c20

1450711010336 has 96 divisors (see below), whose sum is σ = 3284998416000. Its totient is φ = 617758267392.

The previous prime is 1450711010317. The next prime is 1450711010339. The reversal of 1450711010336 is 6330101170541.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1450711010339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51669710 + ... + 51697778.

It is an arithmetic number, because the mean of its divisors is an integer number (34218733500).

Almost surely, 21450711010336 is an apocalyptic number.

1450711010336 is a gapful number since it is divisible by the number (16) 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 1450711010336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642499208000).

1450711010336 is an abundant number, since it is smaller than the sum of its proper divisors (1834287405664).

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

1450711010336 is a wasteful number, since it uses less digits than its factorization.

1450711010336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29554 (or 29546 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

Adding to 1450711010336 its reverse (6330101170541), we get a palindrome (7780812180877).

The spelling of 1450711010336 in words is "one trillion, four hundred fifty billion, seven hundred eleven million, ten thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 179 224 358 716 1253 1289 1432 2506 2578 2864 5012 5156 5728 9023 10024 10312 18046 20048 20624 28069 36092 40096 41248 56138 72184 112276 144368 196483 224552 230731 288736 392966 449104 461462 785932 898208 922924 1571864 1615117 1845848 3143728 3230234 3691696 5024351 6287456 6460468 7383392 10048702 12920936 20097404 25841872 35170457 36180941 40194808 51683744 70340914 72361882 80389616 140681828 144723764 160779232 253266587 281363656 289447528 506533174 562727312 578895056 1013066348 1125454624 1157790112 2026132696 4052265392 6476388439 8104530784 12952776878 25905553756 45334719073 51811107512 90669438146 103622215024 181338876292 207244430048 362677752584 725355505168 1450711010336