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144662202240 = 2735113666769
BaseRepresentation
bin1000011010111010001…
…0100000011110000000
3111211101202110021220020
42012232202200132000
54332232010432430
6150242405013440
713310602300443
oct2065642403600
9454352407806
10144662202240
1156395050746
12240530b4280
131084574a74a
1470048bb65a
153b6a19eb10
hex21ae8a0780

144662202240 has 128 divisors (see below), whose sum is σ = 465192093600. Its totient is φ = 38235144192.

The previous prime is 144662202211. The next prime is 144662202271. The reversal of 144662202240 is 42202266441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1446622022402 (a number of 23 digits) contains 22 as substring.

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, 116425 + ... + 550344.

Almost surely, 2144662202240 is an apocalyptic number.

144662202240 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 144662202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232596046800).

144662202240 is an abundant number, since it is smaller than the sum of its proper divisors (320529891360).

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

144662202240 is a wasteful number, since it uses less digits than its factorization.

144662202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666904 (or 666892 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 144662202240 its reverse (42202266441), we get a palindrome (186864468681).

The spelling of 144662202240 in words is "one hundred forty-four billion, six hundred sixty-two million, two hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 113 120 128 160 192 226 240 320 339 384 452 480 565 640 678 904 960 1130 1356 1695 1808 1920 2260 2712 3390 3616 4520 5424 6780 7232 9040 10848 13560 14464 18080 21696 27120 36160 43392 54240 72320 108480 216960 666769 1333538 2000307 2667076 3333845 4000614 5334152 6667690 8001228 10001535 10668304 13335380 16002456 20003070 21336608 26670760 32004912 40006140 42673216 53341520 64009824 75344897 80012280 85346432 106683040 128019648 150689794 160024560 213366080 226034691 256039296 301379588 320049120 376724485 426732160 452069382 602759176 640098240 753448970 904138764 1130173455 1205518352 1280196480 1506897940 1808277528 2260346910 2411036704 3013795880 3616555056 4520693820 4822073408 6027591760 7233110112 9041387640 9644146816 12055183520 14466220224 18082775280 24110367040 28932440448 36165550560 48220734080 72331101120 144662202240