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22503141053040 = 24351633761152947
BaseRepresentation
bin1010001110111011010111…
…01110101001001001110000
32221200021112120222002121010
411013131223232221021300
510422142413102144130
6115505444510030520
74511540545636344
oct507355356511160
987607476862533
1022503141053040
11719658a517a1a
1226353144a8440
13c73063665b2b
1457b22d173624
152905595ee0b0
hex14776bba9270

22503141053040 has 160 divisors (see below), whose sum is σ = 70206832118016. Its totient is φ = 5962397921280.

The previous prime is 22503141053027. The next prime is 22503141053051. The reversal of 22503141053040 is 4035014130522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22503141052989 and 22503141053007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147053847 + ... + 147206793.

Almost surely, 222503141053040 is an apocalyptic number.

22503141053040 is a gapful number since it is divisible by the number (20) 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 22503141053040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35103416059008).

22503141053040 is an abundant number, since it is smaller than the sum of its proper divisors (47703691064976).

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

22503141053040 is a wasteful number, since it uses less digits than its factorization.

22503141053040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156887 (or 156881 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 22503141053040 its reverse (4035014130522), we get a palindrome (26538155183562).

The spelling of 22503141053040 in words is "twenty-two trillion, five hundred three billion, one hundred forty-one million, fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 163 240 326 489 652 815 978 1304 1630 1956 2445 2608 3260 3761 3912 4890 6520 7522 7824 9780 11283 13040 15044 18805 19560 22566 30088 37610 39120 45132 56415 60176 75220 90264 112830 150440 152947 180528 225660 300880 305894 451320 458841 611788 613043 764735 902640 917682 1223576 1226086 1529470 1835364 1839129 2294205 2447152 2452172 3058940 3065215 3670728 3678258 4588410 4904344 6117880 6130430 7341456 7356516 9176820 9195645 9808688 12235760 12260860 14713032 18353640 18391290 24521720 24930361 29426064 36707280 36782580 49043440 49860722 73565160 74791083 99721444 124651805 147130320 149582166 199442888 249303610 299164332 373955415 398885776 498607220 575233667 598328664 747910830 997214440 1150467334 1196657328 1495821660 1725701001 1994428880 2300934668 2876168335 2991643320 3451402002 4601869336 5752336670 5983286640 6902804004 8628505005 9203738672 11504673340 13805608008 17257010010 23009346680 27611216016 34514020020 46018693360 69028040040 93763087721 138056080080 187526175442 281289263163 375052350884 468815438605 562578526326 750104701768 937630877210 1125157052652 1406446315815 1500209403536 1875261754420 2250314105304 2812892631630 3750523508840 4500628210608 5625785263260 7501047017680 11251570526520 22503141053040