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1401145312 = 257531071103
BaseRepresentation
bin101001110000011…
…1100011111100000
310121122111120000211
41103200330133200
510332143122222
6351011223504
746502352520
oct12340743740
93548446024
101401145312
11659a01236
123312a7b94
1319438cb88
14d412d680
158301e277
hex5383c7e0

1401145312 has 96 divisors (see below), whose sum is σ = 3245018112. Its totient is φ = 583125504.

The previous prime is 1401145301. The next prime is 1401145313. The reversal of 1401145312 is 2135411041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401145313) 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, 1269753 + ... + 1270855.

It is an arithmetic number, because the mean of its divisors is an integer number (33802272).

Almost surely, 21401145312 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 1401145312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622509056).

1401145312 is an abundant number, since it is smaller than the sum of its proper divisors (1843872800).

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

1401145312 is a wasteful number, since it uses less digits than its factorization.

1401145312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1401145312 is about 37431.8756142409. The cubic root of 1401145312 is about 1118.9939179482.

Adding to 1401145312 its reverse (2135411041), we get a palindrome (3536556353).

The spelling of 1401145312 in words is "one billion, four hundred one million, one hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 107 112 212 214 224 371 424 428 742 749 848 856 1103 1484 1498 1696 1712 2206 2968 2996 3424 4412 5671 5936 5992 7721 8824 11342 11872 11984 15442 17648 22684 23968 30884 35296 39697 45368 58459 61768 79394 90736 116918 118021 123536 158788 181472 233836 236042 247072 317576 409213 467672 472084 635152 818426 826147 935344 944168 1270304 1636852 1652294 1870688 1888336 3273704 3304588 3776672 6255113 6547408 6609176 12510226 13094816 13218352 25020452 26436704 43785791 50040904 87571582 100081808 175143164 200163616 350286328 700572656 1401145312