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514215310130144 = 25723671181756629
BaseRepresentation
bin111010011101011010001010…
…0111001011111101111100000
32111102200111121002111110221122
41310322310110321133233200
51014344400423343131034
65021351130300111412
7213211554514412300
oct16472642471375740
92442614532443848
10514215310130144
11139932541003a77
124980a456b35568
13190c03ac7b97bc
1490da22207d600
153e6adc0de562e
hex1d3ad14e5fbe0

514215310130144 has 144 divisors (see below), whose sum is σ = 1181855164150080. Its totient is φ = 219591120430080.

The previous prime is 514215310130101. The next prime is 514215310130183. The reversal of 514215310130144 is 441031013512415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 679235222 + ... + 679991850.

It is an arithmetic number, because the mean of its divisors is an integer number (8207327528820).

Almost surely, 2514215310130144 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 514215310130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590927582075040).

514215310130144 is an abundant number, since it is smaller than the sum of its proper divisors (667639854019936).

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

514215310130144 is a wasteful number, since it uses less digits than its factorization.

514215310130144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758201 (or 758186 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

Adding to 514215310130144 its reverse (441031013512415), we get a palindrome (955246323642559).

The spelling of 514215310130144 in words is "five hundred fourteen trillion, two hundred fifteen billion, three hundred ten million, one hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 367 392 734 784 1181 1468 1568 2362 2569 2936 4724 5138 5872 8267 9448 10276 11744 16534 17983 18896 20552 33068 35966 37792 41104 57869 66136 71932 82208 115738 132272 143864 231476 264544 287728 433427 462952 575456 756629 866854 925904 1513258 1733708 1851808 3026516 3033989 3467416 5296403 6053032 6067978 6934832 10592806 12106064 12135956 13869664 21185612 21237923 24212128 24271912 37074821 42371224 42475846 48543824 74149642 84742448 84951692 97087648 148299284 169484896 169903384 277682843 296598568 339806768 555365686 593197136 679613536 893578849 1110731372 1186394272 1787157698 1943779901 2221462744 3574315396 3887559802 4442925488 6255051943 7148630792 7775119604 8885850976 12510103886 13606459307 14297261584 15550239208 25020207772 27212918614 28594523168 31100478416 43785363601 50040415544 54425837228 62200956832 87570727202 100080831088 108851674456 175141454404 200161662176 217703348912 327943437583 350282908808 435406697824 655886875166 700565817616 1311773750332 1401131635232 2295604063081 2623547500664 4591208126162 5247095001328 9182416252324 10494190002656 16069228441567 18364832504648 32138456883134 36729665009296 64276913766268 73459330018592 128553827532536 257107655065072 514215310130144