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145113396736 = 2971123915401
BaseRepresentation
bin1000011100100101101…
…1101011011000000000
3111212120012110100101111
42013021123223120000
54334143012143421
6150355243413104
713325021343340
oct2071133533000
9455505410344
10145113396736
11565a6802860
122415a224194
13108b8075039
1470487aad20
153b94ac6ee1
hex21c96eb600

145113396736 has 160 divisors (see below), whose sum is σ = 363023907840. Its totient is φ = 56297472000.

The previous prime is 145113396733. The next prime is 145113396761. The reversal of 145113396736 is 637693311541.

It is a self number, because there is not a number n which added to its sum of digits gives 145113396736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145113396733) 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, 9414636 + ... + 9430036.

It is an arithmetic number, because the mean of its divisors is an integer number (2268899424).

Almost surely, 2145113396736 is an apocalyptic number.

145113396736 is a gapful number since it is divisible by the number (16) 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 145113396736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181511953920).

145113396736 is an abundant number, since it is smaller than the sum of its proper divisors (217910511104).

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

145113396736 is a wasteful number, since it uses less digits than its factorization.

145113396736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15676 (or 15660 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 49.

The spelling of 145113396736 in words is "one hundred forty-five billion, one hundred thirteen million, three hundred ninety-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 239 256 308 352 448 478 512 616 704 896 956 1232 1408 1673 1792 1912 2464 2629 2816 3346 3584 3824 4928 5258 5632 6692 7648 9856 10516 13384 15296 15401 18403 19712 21032 26768 30592 30802 36806 39424 42064 53536 61184 61604 73612 84128 107072 107807 122368 123208 147224 168256 169411 214144 215614 246416 294448 336512 338822 428288 431228 492832 588896 673024 677644 856576 862456 985664 1177792 1185877 1346048 1355288 1724912 1971328 2355584 2371754 2710576 3449824 3680839 3942656 4711168 4743508 5421152 6899648 7361678 7885312 9422336 9487016 10842304 13799296 14723356 18974032 21684608 25765873 27598592 29446712 37948064 40489229 43369216 51531746 55197184 58893424 75896128 80978458 86738432 103063492 117786848 151792256 161956916 206126984 235573696 283424603 303584512 323913832 412253968 471147392 566849206 607169024 647827664 824507936 942294784 1133698412 1295655328 1649015872 1884589568 2267396824 2591310656 3298031744 4534793648 5182621312 6596063488 9069587296 10365242624 13192126976 18139174592 20730485248 36278349184 72556698368 145113396736