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10143061541352 = 233431216288109
BaseRepresentation
bin1001001110011001110110…
…0101001000000111101000
31022220200000101202112210000
42103212131211020013220
52312140442223310402
633323354054223000
72064545343363165
oct223463545100750
938820011675700
1010143061541352
1132607148a1523
121179962954a60
1358764309b43c
14270cd91c306c
15128c9e812c1c
hex9399d9481e8

10143061541352 has 120 divisors (see below), whose sum is σ = 29355979212450. Its totient is φ = 3271955135040.

The previous prime is 10143061541233. The next prime is 10143061541357. The reversal of 10143061541352 is 25314516034101.

10143061541352 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 3 + 0 + 61 + 541 + 3 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10105570513476 + 37491027876 = 3178926^2 + 193626^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10143061541357) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7521327 + ... + 8766782.

Almost surely, 210143061541352 is an apocalyptic number.

10143061541352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10143061541352 is an abundant number, since it is smaller than the sum of its proper divisors (19212917671098).

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

10143061541352 is a wasteful number, since it uses less digits than its factorization.

10143061541352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16288189 (or 16288145 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 10143061541352 its reverse (25314516034101), we get a palindrome (35457577575453).

The spelling of 10143061541352 in words is "ten trillion, one hundred forty-three billion, sixty-one million, five hundred forty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 961 1116 1674 1922 2232 2511 2883 3348 3844 5022 5766 6696 7688 8649 10044 11532 17298 20088 23064 25947 34596 51894 69192 77841 103788 155682 207576 311364 622728 16288109 32576218 48864327 65152436 97728654 130304872 146592981 195457308 293185962 390914616 439778943 504931379 586371924 879557886 1009862758 1172743848 1319336829 1514794137 1759115772 2019725516 2638673658 3029588274 3518231544 4039451032 4544382411 5277347316 6059176548 9088764822 10554694632 12118353096 13633147233 15652872749 18177529644 27266294466 31305745498 36355059288 40899441699 46958618247 54532588932 62611490996 81798883398 93917236494 109065177864 125222981992 140875854741 163597766796 187834472988 281751709482 327195533592 375668945976 422627564223 563503418964 845255128446 1127006837928 1267882692669 1690510256892 2535765385338 3381020513784 5071530770676 10143061541352