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3010134138432 = 26353547540781
BaseRepresentation
bin101011110011011001111…
…110011101111001000000
3101122202200102102211220120
4223303121332131321000
5343304223314412212
610222500405140240
7430321634004141
oct53633176357100
911582612384816
103010134138432
11a606552799a3
124074739ba680
1318ab15254715
14a5996bb5ac8
155347929b88c
hex2bcd9f9de40

3010134138432 has 112 divisors (see below), whose sum is σ = 8129433039552. Its totient is φ = 982644848640.

The previous prime is 3010134138413. The next prime is 3010134138437. The reversal of 3010134138432 is 2348314310103.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3010134138393 and 3010134138402.

It is not an unprimeable number, because it can be changed into a prime (3010134138437) 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, 5295882 + ... + 5836662.

Almost surely, 23010134138432 is an apocalyptic number.

3010134138432 is a gapful number since it is divisible by the number (32) 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 3010134138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064716519776).

3010134138432 is an abundant number, since it is smaller than the sum of its proper divisors (5119298901120).

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

3010134138432 is a wasteful number, since it uses less digits than its factorization.

3010134138432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541396 (or 541386 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 3010134138432 its reverse (2348314310103), we get a palindrome (5358448448535).

The spelling of 3010134138432 in words is "three trillion, ten billion, one hundred thirty-four million, one hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 424 547 636 848 1094 1272 1641 1696 2188 2544 3282 3392 4376 5088 6564 8752 10176 13128 17504 26256 28991 35008 52512 57982 86973 105024 115964 173946 231928 347892 463856 540781 695784 927712 1081562 1391568 1622343 1855424 2163124 2783136 3244686 4326248 5566272 6489372 8652496 12978744 17304992 25957488 28661393 34609984 51914976 57322786 85984179 103829952 114645572 171968358 229291144 295807207 343936716 458582288 591614414 687873432 887421621 917164576 1183228828 1375746864 1774843242 1834329152 2366457656 2751493728 3549686484 4732915312 5502987456 7099372968 9465830624 14198745936 15677781971 18931661248 28397491872 31355563942 47033345913 56794983744 62711127884 94066691826 125422255768 188133383652 250844511536 376266767304 501689023072 752533534608 1003378046144 1505067069216 3010134138432