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145635051408 = 243711383102881
BaseRepresentation
bin1000011110100010000…
…1101000011110010000
3111220220120001011001220
42013220201220132100
54341230033121113
6150523120325040
713343654340420
oct2075041503620
9456816034056
10145635051408
115684420a720
1224284a73780
131096c16c742
147097b9c480
153bc57bb523
hex21e8868790

145635051408 has 160 divisors (see below), whose sum is σ = 470287613952. Its totient is φ = 37728153600.

The previous prime is 145635051407. The next prime is 145635051409. The reversal of 145635051408 is 804150536541.

It is an interprime number because it is at equal distance from previous prime (145635051407) and next prime (145635051409).

It is a super-2 number, since 2×1456350514082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 145635051408.

It is not an unprimeable number, because it can be changed into a prime (145635051407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1364128 + ... + 1467008.

Almost surely, 2145635051408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145635051408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235143806976).

145635051408 is an abundant number, since it is smaller than the sum of its proper divisors (324652562544).

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

145635051408 is a wasteful number, since it uses less digits than its factorization.

145635051408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103293 (or 103287 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

Adding to 145635051408 its reverse (804150536541), we get a palindrome (949785587949).

The spelling of 145635051408 in words is "one hundred forty-five billion, six hundred thirty-five million, fifty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 383 462 528 616 766 924 1149 1232 1532 1848 2298 2681 3064 3696 4213 4596 5362 6128 8043 8426 9192 10724 12639 16086 16852 18384 21448 25278 29491 32172 33704 42896 50556 58982 64344 67408 88473 101112 102881 117964 128688 176946 202224 205762 235928 308643 353892 411524 471856 617286 707784 720167 823048 1131691 1234572 1415568 1440334 1646096 2160501 2263382 2469144 2880668 3395073 4321002 4526764 4938288 5761336 6790146 7921837 8642004 9053528 11522672 13580292 15843674 17284008 18107056 23765511 27160584 31687348 34568016 39403423 47531022 54321168 63374696 78806846 95062044 118210269 126749392 157613692 190124088 236420538 275823961 315227384 380248176 433437653 472841076 551647922 630454768 827471883 866875306 945682152 1103295844 1300312959 1654943766 1733750612 1891364304 2206591688 2600625918 3034063571 3309887532 3467501224 4413183376 5201251836 6068127142 6619775064 6935002448 9102190713 10402503672 12136254284 13239550128 18204381426 20805007344 24272508568 36408762852 48545017136 72817525704 145635051408