Search a number
-
+
4630615641344 = 28711234913537
BaseRepresentation
bin100001101100010011000…
…1100110100110100000000
3121101200102120021110221202
41003120212030310310000
51101332000101010334
613503135255440332
7655356654342530
oct103304614646400
917350376243852
104630615641344
11152591889a6a0
1262953b9860a8
13277885532144
141201a16c74c0
15806bda0e17e
hex43626334d00

4630615641344 has 72 divisors (see below), whose sum is σ = 11523918520128. Its totient is φ = 1804135956480.

The previous prime is 4630615641287. The next prime is 4630615641349. The reversal of 4630615641344 is 4431465160364.

It is a super-3 number, since 3×46306156413443 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4630615641349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117437057 + ... + 117476480.

Almost surely, 24630615641344 is an apocalyptic number.

4630615641344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4630615641344 is an abundant number, since it is smaller than the sum of its proper divisors (6893302878784).

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

4630615641344 is a wasteful number, since it uses less digits than its factorization.

4630615641344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234913571 (or 234913557 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 47.

The spelling of 4630615641344 in words is "four trillion, six hundred thirty billion, six hundred fifteen million, six hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1232 1408 1792 2464 2816 4928 9856 19712 234913537 469827074 939654148 1644394759 1879308296 2584048907 3288789518 3758616592 5168097814 6577579036 7517233184 10336195628 13155158072 15034466368 18088342349 20672391256 26310316144 30068932736 36176684698 41344782512 52620632288 60137865472 72353369396 82689565024 105241264576 144706738792 165379130048 210482529152 289413477584 330758260096 420965058304 578826955168 661516520192 1157653910336 2315307820672 4630615641344