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145001301440 = 26517193138107
BaseRepresentation
bin1000011100001011000…
…0000100010111000000
3111212021101112022112212
42013002300010113000
54333430313121230
6150340201041252
713322160504032
oct2070260042700
9455241468485
10145001301440
11565494aaa16
1224128786228
131089aa88068
14703794bc52
153b89d33895
hex21c2c045c0

145001301440 has 112 divisors (see below), whose sum is σ = 367492129632. Its totient is φ = 54305488896.

The previous prime is 145001301439. The next prime is 145001301451. The reversal of 145001301440 is 44103100541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 980867 + ... + 1118973.

Almost surely, 2145001301440 is an apocalyptic number.

145001301440 is a gapful number since it is divisible by the number (10) 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 145001301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183746064816).

145001301440 is an abundant number, since it is smaller than the sum of its proper divisors (222490828192).

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

145001301440 is a wasteful number, since it uses less digits than its factorization.

145001301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138334 (or 138324 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 145001301440 its reverse (44103100541), we get a palindrome (189104401981).

The spelling of 145001301440 in words is "one hundred forty-five billion, one million, three hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 193 272 320 340 386 544 680 772 965 1088 1360 1544 1930 2720 3088 3281 3860 5440 6176 6562 7720 12352 13124 15440 16405 26248 30880 32810 52496 61760 65620 104992 131240 138107 209984 262480 276214 524960 552428 690535 1049920 1104856 1381070 2209712 2347819 2762140 4419424 4695638 5524280 8838848 9391276 11048560 11739095 18782552 22097120 23478190 26654651 37565104 44194240 46956380 53309302 75130208 93912760 106618604 133273255 150260416 187825520 213237208 266546510 375651040 426474416 453129067 533093020 751302080 852948832 906258134 1066186040 1705897664 1812516268 2132372080 2265645335 3625032536 4264744160 4531290670 7250065072 8529488320 9062581340 14500130144 18125162680 29000260288 36250325360 72500650720 145001301440