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197142827440 = 245132356314639
BaseRepresentation
bin1011011110011010100…
…0001101000110110000
3200211212020000021120111
42313212220031012300
511212222030434230
6230322142551104
720146245245566
oct2674650150660
9624766007514
10197142827440
1176675a94169
123225a898494
131578a3c4c20
149782857a36
1551dc6e492a
hex2de6a0d1b0

197142827440 has 160 divisors (see below), whose sum is σ = 516026972160. Its totient is φ = 69497945088.

The previous prime is 197142827407. The next prime is 197142827449. The reversal of 197142827440 is 44728241791.

It is a happy number.

It is a super-2 number, since 2×1971428274402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (197142827449) 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, 13459641 + ... + 13474279.

It is an arithmetic number, because the mean of its divisors is an integer number (3225168576).

Almost surely, 2197142827440 is an apocalyptic number.

197142827440 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 197142827440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258013486080).

197142827440 is an abundant number, since it is smaller than the sum of its proper divisors (318884144720).

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

197142827440 is a wasteful number, since it uses less digits than its factorization.

197142827440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15251 (or 15245 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 49.

The spelling of 197142827440 in words is "one hundred ninety-seven billion, one hundred forty-two million, eight hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 563 598 920 1040 1126 1196 1495 1840 2252 2392 2815 2990 4504 4784 5630 5980 7319 9008 11260 11960 12949 14638 14639 22520 23920 25898 29276 29278 36595 45040 51796 58552 58556 64745 73190 73195 103592 117104 117112 129490 146380 146390 168337 190307 207184 234224 258980 292760 292780 336674 336697 380614 517960 585520 585560 673348 673394 761228 841685 951535 1035920 1171120 1346696 1346788 1522456 1683370 1683485 1903070 2693392 2693576 3044912 3366740 3366970 3806140 4377061 5387152 6733480 6733940 7612280 8241757 8754122 13466960 13467880 15224560 16483514 17508244 21885305 26935760 32967028 35016488 41208785 43770610 65934056 70032976 82417570 87541220 107142841 131868112 164835140 175082440 189560411 214285682 329670280 350164880 379120822 428571364 535714205 659340560 758241644 857142728 947802055 1071428410 1516483288 1714285456 1895604110 2142856820 2464285343 3032966576 3791208220 4285713640 4928570686 7582416440 8571427280 9857141372 12321426715 15164832880 19714282744 24642853430 39428565488 49285706860 98571413720 197142827440